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Finding the Fourth Proportional to 1,023.62, 1,535.43 and 293.20

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Solution

The fourth proportional to 1,023.62, 1,535.43 and 293.20 is: 439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.62 : 1,535.43 = 293.20 : x
  2. Step 2: Convert to fraction form
    1,023.62/1,535.43 = 293.20/x
  3. Step 3: Cross multiply
    1,023.62x = 1,535.43 × 293.20
  4. Step 4: Simplify right side
    1,023.62x = 450,191.09
  5. Step 5: Solve for x
    x = 450,191.09/1,023.62
  6. Step 6: Final answer
    x = 439.80

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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.