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Finding the Fourth Proportional to 539.73, 812.91 and 501.71

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Solution

The fourth proportional to 539.73, 812.91 and 501.71 is: 755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.73 : 812.91 = 501.71 : x
  2. Step 2: Convert to fraction form
    539.73/812.91 = 501.71/x
  3. Step 3: Cross multiply
    539.73x = 812.91 × 501.71
  4. Step 4: Simplify right side
    539.73x = 407,841.01
  5. Step 5: Solve for x
    x = 407,841.01/539.73
  6. Step 6: Final answer
    x = 755.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.