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Finding the Fourth Proportional to 1,578.12, 2,367.54 and 712.56

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Solution

The fourth proportional to 1,578.12, 2,367.54 and 712.56 is: 1,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.12 : 2,367.54 = 712.56 : x
  2. Step 2: Convert to fraction form
    1,578.12/2,367.54 = 712.56/x
  3. Step 3: Cross multiply
    1,578.12x = 2,367.54 × 712.56
  4. Step 4: Simplify right side
    1,578.12x = 1,687,014.30
  5. Step 5: Solve for x
    x = 1,687,014.30/1,578.12
  6. Step 6: Final answer
    x = 1,069.00

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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.