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Finding the Fourth Proportional to 642.24, 962.16 and 545.76

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Solution

The fourth proportional to 642.24, 962.16 and 545.76 is: 817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 962.16 = 545.76 : x
  2. Step 2: Convert to fraction form
    642.24/962.16 = 545.76/x
  3. Step 3: Cross multiply
    642.24x = 962.16 × 545.76
  4. Step 4: Simplify right side
    642.24x = 525,108.44
  5. Step 5: Solve for x
    x = 525,108.44/642.24
  6. Step 6: Final answer
    x = 817.62

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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.