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Finding the Fourth Proportional to 772.99, 1,160.39 and 610.79

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Solution

The fourth proportional to 772.99, 1,160.39 and 610.79 is: 916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.99 : 1,160.39 = 610.79 : x
  2. Step 2: Convert to fraction form
    772.99/1,160.39 = 610.79/x
  3. Step 3: Cross multiply
    772.99x = 1,160.39 × 610.79
  4. Step 4: Simplify right side
    772.99x = 708,750.33
  5. Step 5: Solve for x
    x = 708,750.33/772.99
  6. Step 6: Final answer
    x = 916.90

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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.