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Finding the Fourth Proportional to 532.31, 792.86 and 525.11

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Solution

The fourth proportional to 532.31, 792.86 and 525.11 is: 782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.31 : 792.86 = 525.11 : x
  2. Step 2: Convert to fraction form
    532.31/792.86 = 525.11/x
  3. Step 3: Cross multiply
    532.31x = 792.86 × 525.11
  4. Step 4: Simplify right side
    532.31x = 416,332.12
  5. Step 5: Solve for x
    x = 416,332.12/532.31
  6. Step 6: Final answer
    x = 782.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.