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Finding the Fourth Proportional to 823.04, 1,234.62 and 275.22

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Solution

The fourth proportional to 823.04, 1,234.62 and 275.22 is: 412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.04 : 1,234.62 = 275.22 : x
  2. Step 2: Convert to fraction form
    823.04/1,234.62 = 275.22/x
  3. Step 3: Cross multiply
    823.04x = 1,234.62 × 275.22
  4. Step 4: Simplify right side
    823.04x = 339,792.12
  5. Step 5: Solve for x
    x = 339,792.12/823.04
  6. Step 6: Final answer
    x = 412.85

Related Problems

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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.