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Finding the Fourth Proportional to 1,026.70, 1,540.28 and 558.52

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Solution

The fourth proportional to 1,026.70, 1,540.28 and 558.52 is: 837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.70 : 1,540.28 = 558.52 : x
  2. Step 2: Convert to fraction form
    1,026.70/1,540.28 = 558.52/x
  3. Step 3: Cross multiply
    1,026.70x = 1,540.28 × 558.52
  4. Step 4: Simplify right side
    1,026.70x = 860,274.73
  5. Step 5: Solve for x
    x = 860,274.73/1,026.70
  6. Step 6: Final answer
    x = 837.90

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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.