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Finding the Fourth Proportional to 1,296.50, 1,789.17 and 830.78

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Solution

The fourth proportional to 1,296.50, 1,789.17 and 830.78 is: 1,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.50 : 1,789.17 = 830.78 : x
  2. Step 2: Convert to fraction form
    1,296.50/1,789.17 = 830.78/x
  3. Step 3: Cross multiply
    1,296.50x = 1,789.17 × 830.78
  4. Step 4: Simplify right side
    1,296.50x = 1,486,406.65
  5. Step 5: Solve for x
    x = 1,486,406.65/1,296.50
  6. Step 6: Final answer
    x = 1,146.48

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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.