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Finding the Fourth Proportional to 1,023.31, 1,534.96 and 292.88

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Solution

The fourth proportional to 1,023.31, 1,534.96 and 292.88 is: 439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.31 : 1,534.96 = 292.88 : x
  2. Step 2: Convert to fraction form
    1,023.31/1,534.96 = 292.88/x
  3. Step 3: Cross multiply
    1,023.31x = 1,534.96 × 292.88
  4. Step 4: Simplify right side
    1,023.31x = 449,559.08
  5. Step 5: Solve for x
    x = 449,559.08/1,023.31
  6. Step 6: Final answer
    x = 439.32

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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.