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Finding the Fourth Proportional to 766.61, 1,151.62 and 474.33

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Solution

The fourth proportional to 766.61, 1,151.62 and 474.33 is: 712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.61 : 1,151.62 = 474.33 : x
  2. Step 2: Convert to fraction form
    766.61/1,151.62 = 474.33/x
  3. Step 3: Cross multiply
    766.61x = 1,151.62 × 474.33
  4. Step 4: Simplify right side
    766.61x = 546,242.16
  5. Step 5: Solve for x
    x = 546,242.16/766.61
  6. Step 6: Final answer
    x = 712.54

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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.