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Finding the Fourth Proportional to 645.65, 966.78 and 592.19

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Solution

The fourth proportional to 645.65, 966.78 and 592.19 is: 886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.65 : 966.78 = 592.19 : x
  2. Step 2: Convert to fraction form
    645.65/966.78 = 592.19/x
  3. Step 3: Cross multiply
    645.65x = 966.78 × 592.19
  4. Step 4: Simplify right side
    645.65x = 572,512.61
  5. Step 5: Solve for x
    x = 572,512.61/645.65
  6. Step 6: Final answer
    x = 886.73

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