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Finding the Fourth Proportional to 616.40, 920.74 and 613.52

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Solution

The fourth proportional to 616.40, 920.74 and 613.52 is: 916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.40 : 920.74 = 613.52 : x
  2. Step 2: Convert to fraction form
    616.40/920.74 = 613.52/x
  3. Step 3: Cross multiply
    616.40x = 920.74 × 613.52
  4. Step 4: Simplify right side
    616.40x = 564,892.40
  5. Step 5: Solve for x
    x = 564,892.40/616.40
  6. Step 6: Final answer
    x = 916.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.