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Finding the Fourth Proportional to 1,117.73, 1,542.69 and 645.93

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Solution

The fourth proportional to 1,117.73, 1,542.69 and 645.93 is: 891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.73 : 1,542.69 = 645.93 : x
  2. Step 2: Convert to fraction form
    1,117.73/1,542.69 = 645.93/x
  3. Step 3: Cross multiply
    1,117.73x = 1,542.69 × 645.93
  4. Step 4: Simplify right side
    1,117.73x = 996,469.75
  5. Step 5: Solve for x
    x = 996,469.75/1,117.73
  6. Step 6: Final answer
    x = 891.52

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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.