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Finding the Fourth Proportional to 616.88, 924.11 and 513.83

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Solution

The fourth proportional to 616.88, 924.11 and 513.83 is: 769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.88 : 924.11 = 513.83 : x
  2. Step 2: Convert to fraction form
    616.88/924.11 = 513.83/x
  3. Step 3: Cross multiply
    616.88x = 924.11 × 513.83
  4. Step 4: Simplify right side
    616.88x = 474,828.25
  5. Step 5: Solve for x
    x = 474,828.25/616.88
  6. Step 6: Final answer
    x = 769.73

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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.