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Finding the Fourth Proportional to 772.29, 1,160.06 and 675.09

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Solution

The fourth proportional to 772.29, 1,160.06 and 675.09 is: 1,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.29 : 1,160.06 = 675.09 : x
  2. Step 2: Convert to fraction form
    772.29/1,160.06 = 675.09/x
  3. Step 3: Cross multiply
    772.29x = 1,160.06 × 675.09
  4. Step 4: Simplify right side
    772.29x = 783,141.53
  5. Step 5: Solve for x
    x = 783,141.53/772.29
  6. Step 6: Final answer
    x = 1,014.05

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Why These Related Problems?

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