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Finding the Fourth Proportional to 1,006.13, 1,387.01 and 706.47

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Solution

The fourth proportional to 1,006.13, 1,387.01 and 706.47 is: 973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.13 : 1,387.01 = 706.47 : x
  2. Step 2: Convert to fraction form
    1,006.13/1,387.01 = 706.47/x
  3. Step 3: Cross multiply
    1,006.13x = 1,387.01 × 706.47
  4. Step 4: Simplify right side
    1,006.13x = 979,870.49
  5. Step 5: Solve for x
    x = 979,870.49/1,006.13
  6. Step 6: Final answer
    x = 973.90

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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.