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Finding the Fourth Proportional to 693.46, 956.51 and 545.84

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Solution

The fourth proportional to 693.46, 956.51 and 545.84 is: 752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.46 : 956.51 = 545.84 : x
  2. Step 2: Convert to fraction form
    693.46/956.51 = 545.84/x
  3. Step 3: Cross multiply
    693.46x = 956.51 × 545.84
  4. Step 4: Simplify right side
    693.46x = 522,099.54
  5. Step 5: Solve for x
    x = 522,099.54/693.46
  6. Step 6: Final answer
    x = 752.89

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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.