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Finding the Fourth Proportional to 1,023.71, 1,535.83 and 743.65

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Solution

The fourth proportional to 1,023.71, 1,535.83 and 743.65 is: 1,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.71 : 1,535.83 = 743.65 : x
  2. Step 2: Convert to fraction form
    1,023.71/1,535.83 = 743.65/x
  3. Step 3: Cross multiply
    1,023.71x = 1,535.83 × 743.65
  4. Step 4: Simplify right side
    1,023.71x = 1,142,114.28
  5. Step 5: Solve for x
    x = 1,142,114.28/1,023.71
  6. Step 6: Final answer
    x = 1,115.67

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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.