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Finding the Fourth Proportional to 1,393.31, 2,087.94 and 653.15

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Solution

The fourth proportional to 1,393.31, 2,087.94 and 653.15 is: 978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.31 : 2,087.94 = 653.15 : x
  2. Step 2: Convert to fraction form
    1,393.31/2,087.94 = 653.15/x
  3. Step 3: Cross multiply
    1,393.31x = 2,087.94 × 653.15
  4. Step 4: Simplify right side
    1,393.31x = 1,363,738.01
  5. Step 5: Solve for x
    x = 1,363,738.01/1,393.31
  6. Step 6: Final answer
    x = 978.78

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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.