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Finding the Fourth Proportional to 657.92, 907.83 and 565.43

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Solution

The fourth proportional to 657.92, 907.83 and 565.43 is: 780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.92 : 907.83 = 565.43 : x
  2. Step 2: Convert to fraction form
    657.92/907.83 = 565.43/x
  3. Step 3: Cross multiply
    657.92x = 907.83 × 565.43
  4. Step 4: Simplify right side
    657.92x = 513,316.47
  5. Step 5: Solve for x
    x = 513,316.47/657.92
  6. Step 6: Final answer
    x = 780.21

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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.