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Finding the Fourth Proportional to 642.18, 962.56 and 527.13

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Solution

The fourth proportional to 642.18, 962.56 and 527.13 is: 790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.18 : 962.56 = 527.13 : x
  2. Step 2: Convert to fraction form
    642.18/962.56 = 527.13/x
  3. Step 3: Cross multiply
    642.18x = 962.56 × 527.13
  4. Step 4: Simplify right side
    642.18x = 507,394.25
  5. Step 5: Solve for x
    x = 507,394.25/642.18
  6. Step 6: Final answer
    x = 790.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.