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Finding the Fourth Proportional to 822.90, 1,234.37 and 275.13

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Solution

The fourth proportional to 822.90, 1,234.37 and 275.13 is: 412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.90 : 1,234.37 = 275.13 : x
  2. Step 2: Convert to fraction form
    822.90/1,234.37 = 275.13/x
  3. Step 3: Cross multiply
    822.90x = 1,234.37 × 275.13
  4. Step 4: Simplify right side
    822.90x = 339,612.22
  5. Step 5: Solve for x
    x = 339,612.22/822.90
  6. Step 6: Final answer
    x = 412.70

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Double scale
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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.