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Finding the Fourth Proportional to 1,325.21, 1,987.82 and 459.52

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Solution

The fourth proportional to 1,325.21, 1,987.82 and 459.52 is: 689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.21 : 1,987.82 = 459.52 : x
  2. Step 2: Convert to fraction form
    1,325.21/1,987.82 = 459.52/x
  3. Step 3: Cross multiply
    1,325.21x = 1,987.82 × 459.52
  4. Step 4: Simplify right side
    1,325.21x = 913,448.02
  5. Step 5: Solve for x
    x = 913,448.02/1,325.21
  6. Step 6: Final answer
    x = 689.29

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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.