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Finding the Fourth Proportional to 748.41, 1,032.67 and 416.80

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Solution

The fourth proportional to 748.41, 1,032.67 and 416.80 is: 575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.41 : 1,032.67 = 416.80 : x
  2. Step 2: Convert to fraction form
    748.41/1,032.67 = 416.80/x
  3. Step 3: Cross multiply
    748.41x = 1,032.67 × 416.80
  4. Step 4: Simplify right side
    748.41x = 430,416.86
  5. Step 5: Solve for x
    x = 430,416.86/748.41
  6. Step 6: Final answer
    x = 575.11

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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.