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Finding the Fourth Proportional to 642.93, 886.91 and 545.73

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Solution

The fourth proportional to 642.93, 886.91 and 545.73 is: 752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.93 : 886.91 = 545.73 : x
  2. Step 2: Convert to fraction form
    642.93/886.91 = 545.73/x
  3. Step 3: Cross multiply
    642.93x = 886.91 × 545.73
  4. Step 4: Simplify right side
    642.93x = 484,013.39
  5. Step 5: Solve for x
    x = 484,013.39/642.93
  6. Step 6: Final answer
    x = 752.82

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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.