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Finding the Fourth Proportional to 1,276.61, 1,913.22 and 545.27

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Solution

The fourth proportional to 1,276.61, 1,913.22 and 545.27 is: 817.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.61 : 1,913.22 = 545.27 : x
  2. Step 2: Convert to fraction form
    1,276.61/1,913.22 = 545.27/x
  3. Step 3: Cross multiply
    1,276.61x = 1,913.22 × 545.27
  4. Step 4: Simplify right side
    1,276.61x = 1,043,211.90
  5. Step 5: Solve for x
    x = 1,043,211.90/1,276.61
  6. Step 6: Final answer
    x = 817.18

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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.