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Finding the Fourth Proportional to 1,385.12, 2,076.60 and 691.76

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Solution

The fourth proportional to 1,385.12, 2,076.60 and 691.76 is: 1,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.12 : 2,076.60 = 691.76 : x
  2. Step 2: Convert to fraction form
    1,385.12/2,076.60 = 691.76/x
  3. Step 3: Cross multiply
    1,385.12x = 2,076.60 × 691.76
  4. Step 4: Simplify right side
    1,385.12x = 1,436,508.82
  5. Step 5: Solve for x
    x = 1,436,508.82/1,385.12
  6. Step 6: Final answer
    x = 1,037.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.