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Finding the Fourth Proportional to 698.09, 964.13 and 542.61

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Solution

The fourth proportional to 698.09, 964.13 and 542.61 is: 749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.09 : 964.13 = 542.61 : x
  2. Step 2: Convert to fraction form
    698.09/964.13 = 542.61/x
  3. Step 3: Cross multiply
    698.09x = 964.13 × 542.61
  4. Step 4: Simplify right side
    698.09x = 523,143.87
  5. Step 5: Solve for x
    x = 523,143.87/698.09
  6. Step 6: Final answer
    x = 749.40

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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.