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Finding the Fourth Proportional to 1,188.80, 1,639.98 and 769.28

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Solution

The fourth proportional to 1,188.80, 1,639.98 and 769.28 is: 1,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.80 : 1,639.98 = 769.28 : x
  2. Step 2: Convert to fraction form
    1,188.80/1,639.98 = 769.28/x
  3. Step 3: Cross multiply
    1,188.80x = 1,639.98 × 769.28
  4. Step 4: Simplify right side
    1,188.80x = 1,261,607.79
  5. Step 5: Solve for x
    x = 1,261,607.79/1,188.80
  6. Step 6: Final answer
    x = 1,061.25

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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.