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Finding the Fourth Proportional to 1,047.24, 1,569.08 and 737.68

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Solution

The fourth proportional to 1,047.24, 1,569.08 and 737.68 is: 1,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.24 : 1,569.08 = 737.68 : x
  2. Step 2: Convert to fraction form
    1,047.24/1,569.08 = 737.68/x
  3. Step 3: Cross multiply
    1,047.24x = 1,569.08 × 737.68
  4. Step 4: Simplify right side
    1,047.24x = 1,157,478.93
  5. Step 5: Solve for x
    x = 1,157,478.93/1,047.24
  6. Step 6: Final answer
    x = 1,105.27

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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.