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Finding the Fourth Proportional to 1,247.86, 1,872.13 and 700.44

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Solution

The fourth proportional to 1,247.86, 1,872.13 and 700.44 is: 1,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.86 : 1,872.13 = 700.44 : x
  2. Step 2: Convert to fraction form
    1,247.86/1,872.13 = 700.44/x
  3. Step 3: Cross multiply
    1,247.86x = 1,872.13 × 700.44
  4. Step 4: Simplify right side
    1,247.86x = 1,311,314.74
  5. Step 5: Solve for x
    x = 1,311,314.74/1,247.86
  6. Step 6: Final answer
    x = 1,050.85

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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.