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Finding the Fourth Proportional to 1,187.31, 1,772.86 and 1,063.11

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Solution

The fourth proportional to 1,187.31, 1,772.86 and 1,063.11 is: 1,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.31 : 1,772.86 = 1,063.11 : x
  2. Step 2: Convert to fraction form
    1,187.31/1,772.86 = 1,063.11/x
  3. Step 3: Cross multiply
    1,187.31x = 1,772.86 × 1,063.11
  4. Step 4: Simplify right side
    1,187.31x = 1,884,742.54
  5. Step 5: Solve for x
    x = 1,884,742.54/1,187.31
  6. Step 6: Final answer
    x = 1,587.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.