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Finding the Fourth Proportional to 698.91, 963.55 and 527.83

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Solution

The fourth proportional to 698.91, 963.55 and 527.83 is: 727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.91 : 963.55 = 527.83 : x
  2. Step 2: Convert to fraction form
    698.91/963.55 = 527.83/x
  3. Step 3: Cross multiply
    698.91x = 963.55 × 527.83
  4. Step 4: Simplify right side
    698.91x = 508,587.19
  5. Step 5: Solve for x
    x = 508,587.19/698.91
  6. Step 6: Final answer
    x = 727.68

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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.