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Finding the Fourth Proportional to 766.71, 1,151.64 and 459.18

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Solution

The fourth proportional to 766.71, 1,151.64 and 459.18 is: 689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.71 : 1,151.64 = 459.18 : x
  2. Step 2: Convert to fraction form
    766.71/1,151.64 = 459.18/x
  3. Step 3: Cross multiply
    766.71x = 1,151.64 × 459.18
  4. Step 4: Simplify right side
    766.71x = 528,810.06
  5. Step 5: Solve for x
    x = 528,810.06/766.71
  6. Step 6: Final answer
    x = 689.71

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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.