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Finding the Fourth Proportional to 732.03, 1,010.30 and 421.59

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Solution

The fourth proportional to 732.03, 1,010.30 and 421.59 is: 581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.03 : 1,010.30 = 421.59 : x
  2. Step 2: Convert to fraction form
    732.03/1,010.30 = 421.59/x
  3. Step 3: Cross multiply
    732.03x = 1,010.30 × 421.59
  4. Step 4: Simplify right side
    732.03x = 425,930.27
  5. Step 5: Solve for x
    x = 425,930.27/732.03
  6. Step 6: Final answer
    x = 581.85

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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.