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Finding the Fourth Proportional to 1,195.17, 1,789.58 and 645.66

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Solution

The fourth proportional to 1,195.17, 1,789.58 and 645.66 is: 966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.17 : 1,789.58 = 645.66 : x
  2. Step 2: Convert to fraction form
    1,195.17/1,789.58 = 645.66/x
  3. Step 3: Cross multiply
    1,195.17x = 1,789.58 × 645.66
  4. Step 4: Simplify right side
    1,195.17x = 1,155,456.99
  5. Step 5: Solve for x
    x = 1,155,456.99/1,195.17
  6. Step 6: Final answer
    x = 966.77

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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.