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Finding the Fourth Proportional to 1,161.47, 1,742.65 and 699.57

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Solution

The fourth proportional to 1,161.47, 1,742.65 and 699.57 is: 1,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.47 : 1,742.65 = 699.57 : x
  2. Step 2: Convert to fraction form
    1,161.47/1,742.65 = 699.57/x
  3. Step 3: Cross multiply
    1,161.47x = 1,742.65 × 699.57
  4. Step 4: Simplify right side
    1,161.47x = 1,219,103.91
  5. Step 5: Solve for x
    x = 1,219,103.91/1,161.47
  6. Step 6: Final answer
    x = 1,049.62

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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.