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Finding the Fourth Proportional to 1,393.44, 1,920.86 and 1,061.28

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Solution

The fourth proportional to 1,393.44, 1,920.86 and 1,061.28 is: 1,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.44 : 1,920.86 = 1,061.28 : x
  2. Step 2: Convert to fraction form
    1,393.44/1,920.86 = 1,061.28/x
  3. Step 3: Cross multiply
    1,393.44x = 1,920.86 × 1,061.28
  4. Step 4: Simplify right side
    1,393.44x = 2,038,564.99
  5. Step 5: Solve for x
    x = 2,038,564.99/1,393.44
  6. Step 6: Final answer
    x = 1,462.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.