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Finding the Fourth Proportional to 1,096.62, 1,513.47 and 676.86

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Solution

The fourth proportional to 1,096.62, 1,513.47 and 676.86 is: 934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.62 : 1,513.47 = 676.86 : x
  2. Step 2: Convert to fraction form
    1,096.62/1,513.47 = 676.86/x
  3. Step 3: Cross multiply
    1,096.62x = 1,513.47 × 676.86
  4. Step 4: Simplify right side
    1,096.62x = 1,024,407.30
  5. Step 5: Solve for x
    x = 1,024,407.30/1,096.62
  6. Step 6: Final answer
    x = 934.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.