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Finding the Fourth Proportional to 1,422.55, 2,132.34 and 600.13

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Solution

The fourth proportional to 1,422.55, 2,132.34 and 600.13 is: 899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.55 : 2,132.34 = 600.13 : x
  2. Step 2: Convert to fraction form
    1,422.55/2,132.34 = 600.13/x
  3. Step 3: Cross multiply
    1,422.55x = 2,132.34 × 600.13
  4. Step 4: Simplify right side
    1,422.55x = 1,279,681.20
  5. Step 5: Solve for x
    x = 1,279,681.20/1,422.55
  6. Step 6: Final answer
    x = 899.57

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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.