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Finding the Fourth Proportional to 1,117.92, 1,542.79 and 645.90

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Solution

The fourth proportional to 1,117.92, 1,542.79 and 645.90 is: 891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.92 : 1,542.79 = 645.90 : x
  2. Step 2: Convert to fraction form
    1,117.92/1,542.79 = 645.90/x
  3. Step 3: Cross multiply
    1,117.92x = 1,542.79 × 645.90
  4. Step 4: Simplify right side
    1,117.92x = 996,488.06
  5. Step 5: Solve for x
    x = 996,488.06/1,117.92
  6. Step 6: Final answer
    x = 891.38

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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.