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Finding the Fourth Proportional to 657.77, 906.87 and 539.31

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Solution

The fourth proportional to 657.77, 906.87 and 539.31 is: 743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.77 : 906.87 = 539.31 : x
  2. Step 2: Convert to fraction form
    657.77/906.87 = 539.31/x
  3. Step 3: Cross multiply
    657.77x = 906.87 × 539.31
  4. Step 4: Simplify right side
    657.77x = 489,084.06
  5. Step 5: Solve for x
    x = 489,084.06/657.77
  6. Step 6: Final answer
    x = 743.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.