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Finding the Fourth Proportional to 698.57, 962.70 and 501.74

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Solution

The fourth proportional to 698.57, 962.70 and 501.74 is: 691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.57 : 962.70 = 501.74 : x
  2. Step 2: Convert to fraction form
    698.57/962.70 = 501.74/x
  3. Step 3: Cross multiply
    698.57x = 962.70 × 501.74
  4. Step 4: Simplify right side
    698.57x = 483,025.10
  5. Step 5: Solve for x
    x = 483,025.10/698.57
  6. Step 6: Final answer
    x = 691.45

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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.