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Finding the Fourth Proportional to 1,161.57, 1,742.45 and 295.88

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Solution

The fourth proportional to 1,161.57, 1,742.45 and 295.88 is: 443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.57 : 1,742.45 = 295.88 : x
  2. Step 2: Convert to fraction form
    1,161.57/1,742.45 = 295.88/x
  3. Step 3: Cross multiply
    1,161.57x = 1,742.45 × 295.88
  4. Step 4: Simplify right side
    1,161.57x = 515,545.91
  5. Step 5: Solve for x
    x = 515,545.91/1,161.57
  6. Step 6: Final answer
    x = 443.84

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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.