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Finding the Fourth Proportional to 1,352.69, 1,866.71 and 731.69

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Solution

The fourth proportional to 1,352.69, 1,866.71 and 731.69 is: 1,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.69 : 1,866.71 = 731.69 : x
  2. Step 2: Convert to fraction form
    1,352.69/1,866.71 = 731.69/x
  3. Step 3: Cross multiply
    1,352.69x = 1,866.71 × 731.69
  4. Step 4: Simplify right side
    1,352.69x = 1,365,850.20
  5. Step 5: Solve for x
    x = 1,365,850.20/1,352.69
  6. Step 6: Final answer
    x = 1,009.73

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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.