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Finding the Fourth Proportional to 1,148.73, 1,587.11 and 800.97

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Solution

The fourth proportional to 1,148.73, 1,587.11 and 800.97 is: 1,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.73 : 1,587.11 = 800.97 : x
  2. Step 2: Convert to fraction form
    1,148.73/1,587.11 = 800.97/x
  3. Step 3: Cross multiply
    1,148.73x = 1,587.11 × 800.97
  4. Step 4: Simplify right side
    1,148.73x = 1,271,223.49
  5. Step 5: Solve for x
    x = 1,271,223.49/1,148.73
  6. Step 6: Final answer
    x = 1,106.63

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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.