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Finding the Fourth Proportional to 1,399.17, 1,930.89 and 801.78

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Solution

The fourth proportional to 1,399.17, 1,930.89 and 801.78 is: 1,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.17 : 1,930.89 = 801.78 : x
  2. Step 2: Convert to fraction form
    1,399.17/1,930.89 = 801.78/x
  3. Step 3: Cross multiply
    1,399.17x = 1,930.89 × 801.78
  4. Step 4: Simplify right side
    1,399.17x = 1,548,148.98
  5. Step 5: Solve for x
    x = 1,548,148.98/1,399.17
  6. Step 6: Final answer
    x = 1,106.48

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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.