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Finding the Fourth Proportional to 1,392.87, 2,089.69 and 560.19

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Solution

The fourth proportional to 1,392.87, 2,089.69 and 560.19 is: 840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.87 : 2,089.69 = 560.19 : x
  2. Step 2: Convert to fraction form
    1,392.87/2,089.69 = 560.19/x
  3. Step 3: Cross multiply
    1,392.87x = 2,089.69 × 560.19
  4. Step 4: Simplify right side
    1,392.87x = 1,170,620.22
  5. Step 5: Solve for x
    x = 1,170,620.22/1,392.87
  6. Step 6: Final answer
    x = 840.44

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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.