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Finding the Fourth Proportional to 1,324.02, 1,987.05 and 631.02

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Solution

The fourth proportional to 1,324.02, 1,987.05 and 631.02 is: 947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.02 : 1,987.05 = 631.02 : x
  2. Step 2: Convert to fraction form
    1,324.02/1,987.05 = 631.02/x
  3. Step 3: Cross multiply
    1,324.02x = 1,987.05 × 631.02
  4. Step 4: Simplify right side
    1,324.02x = 1,253,868.29
  5. Step 5: Solve for x
    x = 1,253,868.29/1,324.02
  6. Step 6: Final answer
    x = 947.02

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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.