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Finding the Fourth Proportional to 1,023.68, 1,534.88 and 439.05

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Solution

The fourth proportional to 1,023.68, 1,534.88 and 439.05 is: 658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.68 : 1,534.88 = 439.05 : x
  2. Step 2: Convert to fraction form
    1,023.68/1,534.88 = 439.05/x
  3. Step 3: Cross multiply
    1,023.68x = 1,534.88 × 439.05
  4. Step 4: Simplify right side
    1,023.68x = 673,886.87
  5. Step 5: Solve for x
    x = 673,886.87/1,023.68
  6. Step 6: Final answer
    x = 658.30

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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.