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Finding the Fourth Proportional to 1,023.22, 1,534.59 and 292.78

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Solution

The fourth proportional to 1,023.22, 1,534.59 and 292.78 is: 439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.22 : 1,534.59 = 292.78 : x
  2. Step 2: Convert to fraction form
    1,023.22/1,534.59 = 292.78/x
  3. Step 3: Cross multiply
    1,023.22x = 1,534.59 × 292.78
  4. Step 4: Simplify right side
    1,023.22x = 449,297.26
  5. Step 5: Solve for x
    x = 449,297.26/1,023.22
  6. Step 6: Final answer
    x = 439.10

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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.