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Finding the Fourth Proportional to 1,187.47, 1,638.71 and 690.44

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Solution

The fourth proportional to 1,187.47, 1,638.71 and 690.44 is: 952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.47 : 1,638.71 = 690.44 : x
  2. Step 2: Convert to fraction form
    1,187.47/1,638.71 = 690.44/x
  3. Step 3: Cross multiply
    1,187.47x = 1,638.71 × 690.44
  4. Step 4: Simplify right side
    1,187.47x = 1,131,436.98
  5. Step 5: Solve for x
    x = 1,131,436.98/1,187.47
  6. Step 6: Final answer
    x = 952.81

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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.