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Finding the Fourth Proportional to 1,026.42, 1,540.16 and 478.44

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Solution

The fourth proportional to 1,026.42, 1,540.16 and 478.44 is: 717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.42 : 1,540.16 = 478.44 : x
  2. Step 2: Convert to fraction form
    1,026.42/1,540.16 = 478.44/x
  3. Step 3: Cross multiply
    1,026.42x = 1,540.16 × 478.44
  4. Step 4: Simplify right side
    1,026.42x = 736,874.15
  5. Step 5: Solve for x
    x = 736,874.15/1,026.42
  6. Step 6: Final answer
    x = 717.91

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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.