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Finding the Fourth Proportional to 1,079.34, 1,488.96 and 637.14

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Solution

The fourth proportional to 1,079.34, 1,488.96 and 637.14 is: 878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.34 : 1,488.96 = 637.14 : x
  2. Step 2: Convert to fraction form
    1,079.34/1,488.96 = 637.14/x
  3. Step 3: Cross multiply
    1,079.34x = 1,488.96 × 637.14
  4. Step 4: Simplify right side
    1,079.34x = 948,675.97
  5. Step 5: Solve for x
    x = 948,675.97/1,079.34
  6. Step 6: Final answer
    x = 878.94

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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.