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Finding the Fourth Proportional to 1,023.44, 1,535.16 and 293.02

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Solution

The fourth proportional to 1,023.44, 1,535.16 and 293.02 is: 439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.44 : 1,535.16 = 293.02 : x
  2. Step 2: Convert to fraction form
    1,023.44/1,535.16 = 293.02/x
  3. Step 3: Cross multiply
    1,023.44x = 1,535.16 × 293.02
  4. Step 4: Simplify right side
    1,023.44x = 449,823.44
  5. Step 5: Solve for x
    x = 449,823.44/1,023.44
  6. Step 6: Final answer
    x = 439.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.