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Finding the Fourth Proportional to 748.46, 1,032.82 and 433.71

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Solution

The fourth proportional to 748.46, 1,032.82 and 433.71 is: 598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.46 : 1,032.82 = 433.71 : x
  2. Step 2: Convert to fraction form
    748.46/1,032.82 = 433.71/x
  3. Step 3: Cross multiply
    748.46x = 1,032.82 × 433.71
  4. Step 4: Simplify right side
    748.46x = 447,943.28
  5. Step 5: Solve for x
    x = 447,943.28/748.46
  6. Step 6: Final answer
    x = 598.48

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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.