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Finding the Fourth Proportional to 1,187.67, 1,639.32 and 690.22

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Solution

The fourth proportional to 1,187.67, 1,639.32 and 690.22 is: 952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.67 : 1,639.32 = 690.22 : x
  2. Step 2: Convert to fraction form
    1,187.67/1,639.32 = 690.22/x
  3. Step 3: Cross multiply
    1,187.67x = 1,639.32 × 690.22
  4. Step 4: Simplify right side
    1,187.67x = 1,131,487.35
  5. Step 5: Solve for x
    x = 1,131,487.35/1,187.67
  6. Step 6: Final answer
    x = 952.70

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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.