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Finding the Fourth Proportional to 1,151.82, 1,587.63 and 801.90

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Solution

The fourth proportional to 1,151.82, 1,587.63 and 801.90 is: 1,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.82 : 1,587.63 = 801.90 : x
  2. Step 2: Convert to fraction form
    1,151.82/1,587.63 = 801.90/x
  3. Step 3: Cross multiply
    1,151.82x = 1,587.63 × 801.90
  4. Step 4: Simplify right side
    1,151.82x = 1,273,120.50
  5. Step 5: Solve for x
    x = 1,273,120.50/1,151.82
  6. Step 6: Final answer
    x = 1,105.31

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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.