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Finding the Fourth Proportional to 747.01, 1,030.59 and 481.42

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Solution

The fourth proportional to 747.01, 1,030.59 and 481.42 is: 664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.01 : 1,030.59 = 481.42 : x
  2. Step 2: Convert to fraction form
    747.01/1,030.59 = 481.42/x
  3. Step 3: Cross multiply
    747.01x = 1,030.59 × 481.42
  4. Step 4: Simplify right side
    747.01x = 496,147.93
  5. Step 5: Solve for x
    x = 496,147.93/747.01
  6. Step 6: Final answer
    x = 664.18

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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.