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Finding the Fourth Proportional to 1,047.20, 1,568.98 and 635.36

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Solution

The fourth proportional to 1,047.20, 1,568.98 and 635.36 is: 951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.20 : 1,568.98 = 635.36 : x
  2. Step 2: Convert to fraction form
    1,047.20/1,568.98 = 635.36/x
  3. Step 3: Cross multiply
    1,047.20x = 1,568.98 × 635.36
  4. Step 4: Simplify right side
    1,047.20x = 996,867.13
  5. Step 5: Solve for x
    x = 996,867.13/1,047.20
  6. Step 6: Final answer
    x = 951.94

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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.