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Finding the Fourth Proportional to 1,006.13, 1,387.17 and 651.44

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Solution

The fourth proportional to 1,006.13, 1,387.17 and 651.44 is: 898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.13 : 1,387.17 = 651.44 : x
  2. Step 2: Convert to fraction form
    1,006.13/1,387.17 = 651.44/x
  3. Step 3: Cross multiply
    1,006.13x = 1,387.17 × 651.44
  4. Step 4: Simplify right side
    1,006.13x = 903,658.02
  5. Step 5: Solve for x
    x = 903,658.02/1,006.13
  6. Step 6: Final answer
    x = 898.15

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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.