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Finding the Fourth Proportional to 1,040.36, 1,560.96 and 391.28

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Solution

The fourth proportional to 1,040.36, 1,560.96 and 391.28 is: 587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.36 : 1,560.96 = 391.28 : x
  2. Step 2: Convert to fraction form
    1,040.36/1,560.96 = 391.28/x
  3. Step 3: Cross multiply
    1,040.36x = 1,560.96 × 391.28
  4. Step 4: Simplify right side
    1,040.36x = 610,772.43
  5. Step 5: Solve for x
    x = 610,772.43/1,040.36
  6. Step 6: Final answer
    x = 587.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.