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Finding the Fourth Proportional to 766.07, 1,146.20 and 469.66

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Solution

The fourth proportional to 766.07, 1,146.20 and 469.66 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.07 : 1,146.20 = 469.66 : x
  2. Step 2: Convert to fraction form
    766.07/1,146.20 = 469.66/x
  3. Step 3: Cross multiply
    766.07x = 1,146.20 × 469.66
  4. Step 4: Simplify right side
    766.07x = 538,319.08
  5. Step 5: Solve for x
    x = 538,319.08/766.07
  6. Step 6: Final answer
    x = 702.71

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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.