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Finding the Fourth Proportional to 1,047.34, 1,568.22 and 865.54

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Solution

The fourth proportional to 1,047.34, 1,568.22 and 865.54 is: 1,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.34 : 1,568.22 = 865.54 : x
  2. Step 2: Convert to fraction form
    1,047.34/1,568.22 = 865.54/x
  3. Step 3: Cross multiply
    1,047.34x = 1,568.22 × 865.54
  4. Step 4: Simplify right side
    1,047.34x = 1,357,357.14
  5. Step 5: Solve for x
    x = 1,357,357.14/1,047.34
  6. Step 6: Final answer
    x = 1,296.00

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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.