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Finding the Fourth Proportional to 1,150.19, 1,587.62 and 736.19

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Solution

The fourth proportional to 1,150.19, 1,587.62 and 736.19 is: 1,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.19 : 1,587.62 = 736.19 : x
  2. Step 2: Convert to fraction form
    1,150.19/1,587.62 = 736.19/x
  3. Step 3: Cross multiply
    1,150.19x = 1,587.62 × 736.19
  4. Step 4: Simplify right side
    1,150.19x = 1,168,789.97
  5. Step 5: Solve for x
    x = 1,168,789.97/1,150.19
  6. Step 6: Final answer
    x = 1,016.17

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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.