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Finding the Fourth Proportional to 1,399.17, 1,930.26 and 801.56

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Solution

The fourth proportional to 1,399.17, 1,930.26 and 801.56 is: 1,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.17 : 1,930.26 = 801.56 : x
  2. Step 2: Convert to fraction form
    1,399.17/1,930.26 = 801.56/x
  3. Step 3: Cross multiply
    1,399.17x = 1,930.26 × 801.56
  4. Step 4: Simplify right side
    1,399.17x = 1,547,227.04
  5. Step 5: Solve for x
    x = 1,547,227.04/1,399.17
  6. Step 6: Final answer
    x = 1,105.81

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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.