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Finding the Fourth Proportional to 997.74, 1,497.42 and 421.02

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Solution

The fourth proportional to 997.74, 1,497.42 and 421.02 is: 631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.74 : 1,497.42 = 421.02 : x
  2. Step 2: Convert to fraction form
    997.74/1,497.42 = 421.02/x
  3. Step 3: Cross multiply
    997.74x = 1,497.42 × 421.02
  4. Step 4: Simplify right side
    997.74x = 630,443.77
  5. Step 5: Solve for x
    x = 630,443.77/997.74
  6. Step 6: Final answer
    x = 631.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.