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Finding the Fourth Proportional to 1,023.80, 1,535.96 and 293.42

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Solution

The fourth proportional to 1,023.80, 1,535.96 and 293.42 is: 440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.80 : 1,535.96 = 293.42 : x
  2. Step 2: Convert to fraction form
    1,023.80/1,535.96 = 293.42/x
  3. Step 3: Cross multiply
    1,023.80x = 1,535.96 × 293.42
  4. Step 4: Simplify right side
    1,023.80x = 450,681.38
  5. Step 5: Solve for x
    x = 450,681.38/1,023.80
  6. Step 6: Final answer
    x = 440.20

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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.