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Finding the Fourth Proportional to 677.79, 935.29 and 500.86

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Solution

The fourth proportional to 677.79, 935.29 and 500.86 is: 691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.79 : 935.29 = 500.86 : x
  2. Step 2: Convert to fraction form
    677.79/935.29 = 500.86/x
  3. Step 3: Cross multiply
    677.79x = 935.29 × 500.86
  4. Step 4: Simplify right side
    677.79x = 468,445.76
  5. Step 5: Solve for x
    x = 468,445.76/677.79
  6. Step 6: Final answer
    x = 691.14

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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.