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Finding the Fourth Proportional to 1,422.75, 2,132.66 and 545.05

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Solution

The fourth proportional to 1,422.75, 2,132.66 and 545.05 is: 817.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.75 : 2,132.66 = 545.05 : x
  2. Step 2: Convert to fraction form
    1,422.75/2,132.66 = 545.05/x
  3. Step 3: Cross multiply
    1,422.75x = 2,132.66 × 545.05
  4. Step 4: Simplify right side
    1,422.75x = 1,162,402.36
  5. Step 5: Solve for x
    x = 1,162,402.36/1,422.75
  6. Step 6: Final answer
    x = 817.01

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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.