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Finding the Fourth Proportional to 766.19, 1,146.66 and 473.58

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Solution

The fourth proportional to 766.19, 1,146.66 and 473.58 is: 708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.19 : 1,146.66 = 473.58 : x
  2. Step 2: Convert to fraction form
    766.19/1,146.66 = 473.58/x
  3. Step 3: Cross multiply
    766.19x = 1,146.66 × 473.58
  4. Step 4: Simplify right side
    766.19x = 543,033.47
  5. Step 5: Solve for x
    x = 543,033.47/766.19
  6. Step 6: Final answer
    x = 708.74

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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.