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Finding the Fourth Proportional to 1,023.81, 1,532.24 and 859.46

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Solution

The fourth proportional to 1,023.81, 1,532.24 and 859.46 is: 1,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.81 : 1,532.24 = 859.46 : x
  2. Step 2: Convert to fraction form
    1,023.81/1,532.24 = 859.46/x
  3. Step 3: Cross multiply
    1,023.81x = 1,532.24 × 859.46
  4. Step 4: Simplify right side
    1,023.81x = 1,316,901.29
  5. Step 5: Solve for x
    x = 1,316,901.29/1,023.81
  6. Step 6: Final answer
    x = 1,286.27

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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.