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Finding the Fourth Proportional to 748.29, 1,032.61 and 416.72

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Solution

The fourth proportional to 748.29, 1,032.61 and 416.72 is: 575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.29 : 1,032.61 = 416.72 : x
  2. Step 2: Convert to fraction form
    748.29/1,032.61 = 416.72/x
  3. Step 3: Cross multiply
    748.29x = 1,032.61 × 416.72
  4. Step 4: Simplify right side
    748.29x = 430,309.24
  5. Step 5: Solve for x
    x = 430,309.24/748.29
  6. Step 6: Final answer
    x = 575.06

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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.