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Finding the Fourth Proportional to 616.52, 922.66 and 546.05

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Solution

The fourth proportional to 616.52, 922.66 and 546.05 is: 817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.52 : 922.66 = 546.05 : x
  2. Step 2: Convert to fraction form
    616.52/922.66 = 546.05/x
  3. Step 3: Cross multiply
    616.52x = 922.66 × 546.05
  4. Step 4: Simplify right side
    616.52x = 503,819.43
  5. Step 5: Solve for x
    x = 503,819.43/616.52
  6. Step 6: Final answer
    x = 817.20

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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.