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Finding the Fourth Proportional to 1,117.59, 1,543.48 and 871.85

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Solution

The fourth proportional to 1,117.59, 1,543.48 and 871.85 is: 1,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.59 : 1,543.48 = 871.85 : x
  2. Step 2: Convert to fraction form
    1,117.59/1,543.48 = 871.85/x
  3. Step 3: Cross multiply
    1,117.59x = 1,543.48 × 871.85
  4. Step 4: Simplify right side
    1,117.59x = 1,345,683.04
  5. Step 5: Solve for x
    x = 1,345,683.04/1,117.59
  6. Step 6: Final answer
    x = 1,204.09

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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.