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Finding the Fourth Proportional to 657.81, 991.35 and 616.77

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Solution

The fourth proportional to 657.81, 991.35 and 616.77 is: 929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.81 : 991.35 = 616.77 : x
  2. Step 2: Convert to fraction form
    657.81/991.35 = 616.77/x
  3. Step 3: Cross multiply
    657.81x = 991.35 × 616.77
  4. Step 4: Simplify right side
    657.81x = 611,434.94
  5. Step 5: Solve for x
    x = 611,434.94/657.81
  6. Step 6: Final answer
    x = 929.50

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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.