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Finding the Fourth Proportional to 1,281.55, 1,921.20 and 760.27

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Solution

The fourth proportional to 1,281.55, 1,921.20 and 760.27 is: 1,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.55 : 1,921.20 = 760.27 : x
  2. Step 2: Convert to fraction form
    1,281.55/1,921.20 = 760.27/x
  3. Step 3: Cross multiply
    1,281.55x = 1,921.20 × 760.27
  4. Step 4: Simplify right side
    1,281.55x = 1,460,630.72
  5. Step 5: Solve for x
    x = 1,460,630.72/1,281.55
  6. Step 6: Final answer
    x = 1,139.74

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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.