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Finding the Fourth Proportional to 1,325.17, 1,987.71 and 459.55

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Solution

The fourth proportional to 1,325.17, 1,987.71 and 459.55 is: 689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.17 : 1,987.71 = 459.55 : x
  2. Step 2: Convert to fraction form
    1,325.17/1,987.71 = 459.55/x
  3. Step 3: Cross multiply
    1,325.17x = 1,987.71 × 459.55
  4. Step 4: Simplify right side
    1,325.17x = 913,452.13
  5. Step 5: Solve for x
    x = 913,452.13/1,325.17
  6. Step 6: Final answer
    x = 689.31

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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.