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Finding the Fourth Proportional to 1,002.58, 1,511.49 and 932.11

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Solution

The fourth proportional to 1,002.58, 1,511.49 and 932.11 is: 1,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.58 : 1,511.49 = 932.11 : x
  2. Step 2: Convert to fraction form
    1,002.58/1,511.49 = 932.11/x
  3. Step 3: Cross multiply
    1,002.58x = 1,511.49 × 932.11
  4. Step 4: Simplify right side
    1,002.58x = 1,408,874.66
  5. Step 5: Solve for x
    x = 1,408,874.66/1,002.58
  6. Step 6: Final answer
    x = 1,405.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.