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Finding the Fourth Proportional to 1,064.92, 1,469.28 and 616.76

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Solution

The fourth proportional to 1,064.92, 1,469.28 and 616.76 is: 850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.92 : 1,469.28 = 616.76 : x
  2. Step 2: Convert to fraction form
    1,064.92/1,469.28 = 616.76/x
  3. Step 3: Cross multiply
    1,064.92x = 1,469.28 × 616.76
  4. Step 4: Simplify right side
    1,064.92x = 906,193.13
  5. Step 5: Solve for x
    x = 906,193.13/1,064.92
  6. Step 6: Final answer
    x = 850.95

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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.