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Finding the Fourth Proportional to 1,149.73, 1,587.17 and 735.97

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Solution

The fourth proportional to 1,149.73, 1,587.17 and 735.97 is: 1,015.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.73 : 1,587.17 = 735.97 : x
  2. Step 2: Convert to fraction form
    1,149.73/1,587.17 = 735.97/x
  3. Step 3: Cross multiply
    1,149.73x = 1,587.17 × 735.97
  4. Step 4: Simplify right side
    1,149.73x = 1,168,109.50
  5. Step 5: Solve for x
    x = 1,168,109.50/1,149.73
  6. Step 6: Final answer
    x = 1,015.99

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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.