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Finding the Fourth Proportional to 732.04, 1,010.26 and 421.64

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Solution

The fourth proportional to 732.04, 1,010.26 and 421.64 is: 581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.04 : 1,010.26 = 421.64 : x
  2. Step 2: Convert to fraction form
    732.04/1,010.26 = 421.64/x
  3. Step 3: Cross multiply
    732.04x = 1,010.26 × 421.64
  4. Step 4: Simplify right side
    732.04x = 425,966.03
  5. Step 5: Solve for x
    x = 425,966.03/732.04
  6. Step 6: Final answer
    x = 581.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.