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Finding the Fourth Proportional to 1,275.61, 1,913.53 and 545.02

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Solution

The fourth proportional to 1,275.61, 1,913.53 and 545.02 is: 817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.61 : 1,913.53 = 545.02 : x
  2. Step 2: Convert to fraction form
    1,275.61/1,913.53 = 545.02/x
  3. Step 3: Cross multiply
    1,275.61x = 1,913.53 × 545.02
  4. Step 4: Simplify right side
    1,275.61x = 1,042,912.12
  5. Step 5: Solve for x
    x = 1,042,912.12/1,275.61
  6. Step 6: Final answer
    x = 817.58

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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.