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Finding the Fourth Proportional to 998.52, 1,384.62 and 965.76

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Solution

The fourth proportional to 998.52, 1,384.62 and 965.76 is: 1,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.52 : 1,384.62 = 965.76 : x
  2. Step 2: Convert to fraction form
    998.52/1,384.62 = 965.76/x
  3. Step 3: Cross multiply
    998.52x = 1,384.62 × 965.76
  4. Step 4: Simplify right side
    998.52x = 1,337,210.61
  5. Step 5: Solve for x
    x = 1,337,210.61/998.52
  6. Step 6: Final answer
    x = 1,339.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.