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Finding the Fourth Proportional to 786.71, 1,179.16 and 613.12

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Solution

The fourth proportional to 786.71, 1,179.16 and 613.12 is: 918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.71 : 1,179.16 = 613.12 : x
  2. Step 2: Convert to fraction form
    786.71/1,179.16 = 613.12/x
  3. Step 3: Cross multiply
    786.71x = 1,179.16 × 613.12
  4. Step 4: Simplify right side
    786.71x = 722,964.31
  5. Step 5: Solve for x
    x = 722,964.31/786.71
  6. Step 6: Final answer
    x = 918.97

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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.