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Finding the Fourth Proportional to 1,325.31, 1,988.10 and 459.42

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Solution

The fourth proportional to 1,325.31, 1,988.10 and 459.42 is: 689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.31 : 1,988.10 = 459.42 : x
  2. Step 2: Convert to fraction form
    1,325.31/1,988.10 = 459.42/x
  3. Step 3: Cross multiply
    1,325.31x = 1,988.10 × 459.42
  4. Step 4: Simplify right side
    1,325.31x = 913,372.90
  5. Step 5: Solve for x
    x = 913,372.90/1,325.31
  6. Step 6: Final answer
    x = 689.18

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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.