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Finding the Fourth Proportional to 1,293.69, 1,785.91 and 1,013.43

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Solution

The fourth proportional to 1,293.69, 1,785.91 and 1,013.43 is: 1,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.69 : 1,785.91 = 1,013.43 : x
  2. Step 2: Convert to fraction form
    1,293.69/1,785.91 = 1,013.43/x
  3. Step 3: Cross multiply
    1,293.69x = 1,785.91 × 1,013.43
  4. Step 4: Simplify right side
    1,293.69x = 1,809,894.77
  5. Step 5: Solve for x
    x = 1,809,894.77/1,293.69
  6. Step 6: Final answer
    x = 1,399.02

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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.