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Finding the Fourth Proportional to 1,189.71, 1,642.24 and 1,065.14

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Solution

The fourth proportional to 1,189.71, 1,642.24 and 1,065.14 is: 1,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.71 : 1,642.24 = 1,065.14 : x
  2. Step 2: Convert to fraction form
    1,189.71/1,642.24 = 1,065.14/x
  3. Step 3: Cross multiply
    1,189.71x = 1,642.24 × 1,065.14
  4. Step 4: Simplify right side
    1,189.71x = 1,749,215.51
  5. Step 5: Solve for x
    x = 1,749,215.51/1,189.71
  6. Step 6: Final answer
    x = 1,470.29

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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.