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Finding the Fourth Proportional to 822.76, 1,234.24 and 275.00

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Solution

The fourth proportional to 822.76, 1,234.24 and 275.00 is: 412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.76 : 1,234.24 = 275.00 : x
  2. Step 2: Convert to fraction form
    822.76/1,234.24 = 275.00/x
  3. Step 3: Cross multiply
    822.76x = 1,234.24 × 275.00
  4. Step 4: Simplify right side
    822.76x = 339,409.14
  5. Step 5: Solve for x
    x = 339,409.14/822.76
  6. Step 6: Final answer
    x = 412.53

Related Problems

Find fourth proportional to 411.38, 617.12 and 137.50
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.