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Finding the Fourth Proportional to 1,047.70, 1,444.14 and 922.56

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Solution

The fourth proportional to 1,047.70, 1,444.14 and 922.56 is: 1,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.70 : 1,444.14 = 922.56 : x
  2. Step 2: Convert to fraction form
    1,047.70/1,444.14 = 922.56/x
  3. Step 3: Cross multiply
    1,047.70x = 1,444.14 × 922.56
  4. Step 4: Simplify right side
    1,047.70x = 1,332,305.80
  5. Step 5: Solve for x
    x = 1,332,305.80/1,047.70
  6. Step 6: Final answer
    x = 1,271.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.