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Finding the Fourth Proportional to 786.49, 1,084.68 and 637.03

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Solution

The fourth proportional to 786.49, 1,084.68 and 637.03 is: 878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.49 : 1,084.68 = 637.03 : x
  2. Step 2: Convert to fraction form
    786.49/1,084.68 = 637.03/x
  3. Step 3: Cross multiply
    786.49x = 1,084.68 × 637.03
  4. Step 4: Simplify right side
    786.49x = 690,973.70
  5. Step 5: Solve for x
    x = 690,973.70/786.49
  6. Step 6: Final answer
    x = 878.55

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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.