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Finding the Fourth Proportional to 1,023.42, 1,534.92 and 292.86

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Solution

The fourth proportional to 1,023.42, 1,534.92 and 292.86 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.42 : 1,534.92 = 292.86 : x
  2. Step 2: Convert to fraction form
    1,023.42/1,534.92 = 292.86/x
  3. Step 3: Cross multiply
    1,023.42x = 1,534.92 × 292.86
  4. Step 4: Simplify right side
    1,023.42x = 449,516.67
  5. Step 5: Solve for x
    x = 449,516.67/1,023.42
  6. Step 6: Final answer
    x = 439.23

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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.