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Finding the Fourth Proportional to 1,275.61, 1,913.38 and 506.11

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Solution

The fourth proportional to 1,275.61, 1,913.38 and 506.11 is: 759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.61 : 1,913.38 = 506.11 : x
  2. Step 2: Convert to fraction form
    1,275.61/1,913.38 = 506.11/x
  3. Step 3: Cross multiply
    1,275.61x = 1,913.38 × 506.11
  4. Step 4: Simplify right side
    1,275.61x = 968,380.75
  5. Step 5: Solve for x
    x = 968,380.75/1,275.61
  6. Step 6: Final answer
    x = 759.15

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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.