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Finding the Fourth Proportional to 1,047.24, 1,576.68 and 724.80

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Solution

The fourth proportional to 1,047.24, 1,576.68 and 724.80 is: 1,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.24 : 1,576.68 = 724.80 : x
  2. Step 2: Convert to fraction form
    1,047.24/1,576.68 = 724.80/x
  3. Step 3: Cross multiply
    1,047.24x = 1,576.68 × 724.80
  4. Step 4: Simplify right side
    1,047.24x = 1,142,777.66
  5. Step 5: Solve for x
    x = 1,142,777.66/1,047.24
  6. Step 6: Final answer
    x = 1,091.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.