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Finding the Fourth Proportional to 1,161.76, 1,742.61 and 468.41

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Solution

The fourth proportional to 1,161.76, 1,742.61 and 468.41 is: 702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.76 : 1,742.61 = 468.41 : x
  2. Step 2: Convert to fraction form
    1,161.76/1,742.61 = 468.41/x
  3. Step 3: Cross multiply
    1,161.76x = 1,742.61 × 468.41
  4. Step 4: Simplify right side
    1,161.76x = 816,251.59
  5. Step 5: Solve for x
    x = 816,251.59/1,161.76
  6. Step 6: Final answer
    x = 702.60

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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.