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Finding the Fourth Proportional to 766.59, 1,057.91 and 417.29

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Solution

The fourth proportional to 766.59, 1,057.91 and 417.29 is: 575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.59 : 1,057.91 = 417.29 : x
  2. Step 2: Convert to fraction form
    766.59/1,057.91 = 417.29/x
  3. Step 3: Cross multiply
    766.59x = 1,057.91 × 417.29
  4. Step 4: Simplify right side
    766.59x = 441,447.89
  5. Step 5: Solve for x
    x = 441,447.89/766.59
  6. Step 6: Final answer
    x = 575.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.