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Finding the Fourth Proportional to 1,023.92, 1,535.60 and 293.44

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Solution

The fourth proportional to 1,023.92, 1,535.60 and 293.44 is: 440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.92 : 1,535.60 = 293.44 : x
  2. Step 2: Convert to fraction form
    1,023.92/1,535.60 = 293.44/x
  3. Step 3: Cross multiply
    1,023.92x = 1,535.60 × 293.44
  4. Step 4: Simplify right side
    1,023.92x = 450,606.46
  5. Step 5: Solve for x
    x = 450,606.46/1,023.92
  6. Step 6: Final answer
    x = 440.08

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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.