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Finding the Fourth Proportional to 1,390.49, 1,917.29 and 1,040.57

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Solution

The fourth proportional to 1,390.49, 1,917.29 and 1,040.57 is: 1,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.49 : 1,917.29 = 1,040.57 : x
  2. Step 2: Convert to fraction form
    1,390.49/1,917.29 = 1,040.57/x
  3. Step 3: Cross multiply
    1,390.49x = 1,917.29 × 1,040.57
  4. Step 4: Simplify right side
    1,390.49x = 1,995,067.47
  5. Step 5: Solve for x
    x = 1,995,067.47/1,390.49
  6. Step 6: Final answer
    x = 1,434.80

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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.