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Finding the Fourth Proportional to 1,031.58, 1,536.39 and 1,002.83

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Solution

The fourth proportional to 1,031.58, 1,536.39 and 1,002.83 is: 1,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.58 : 1,536.39 = 1,002.83 : x
  2. Step 2: Convert to fraction form
    1,031.58/1,536.39 = 1,002.83/x
  3. Step 3: Cross multiply
    1,031.58x = 1,536.39 × 1,002.83
  4. Step 4: Simplify right side
    1,031.58x = 1,540,730.30
  5. Step 5: Solve for x
    x = 1,540,730.30/1,031.58
  6. Step 6: Final answer
    x = 1,493.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.