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Finding the Fourth Proportional to 1,161.88, 1,742.82 and 545.13

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Solution

The fourth proportional to 1,161.88, 1,742.82 and 545.13 is: 817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.88 : 1,742.82 = 545.13 : x
  2. Step 2: Convert to fraction form
    1,161.88/1,742.82 = 545.13/x
  3. Step 3: Cross multiply
    1,161.88x = 1,742.82 × 545.13
  4. Step 4: Simplify right side
    1,161.88x = 950,061.42
  5. Step 5: Solve for x
    x = 950,061.42/1,161.88
  6. Step 6: Final answer
    x = 817.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.