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Finding the Fourth Proportional to 748.73, 1,033.12 and 434.03

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Solution

The fourth proportional to 748.73, 1,033.12 and 434.03 is: 598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.73 : 1,033.12 = 434.03 : x
  2. Step 2: Convert to fraction form
    748.73/1,033.12 = 434.03/x
  3. Step 3: Cross multiply
    748.73x = 1,033.12 × 434.03
  4. Step 4: Simplify right side
    748.73x = 448,402.90
  5. Step 5: Solve for x
    x = 448,402.90/748.73
  6. Step 6: Final answer
    x = 598.89

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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.