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Finding the Fourth Proportional to 1,249.32, 1,723.85 and 801.58

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Solution

The fourth proportional to 1,249.32, 1,723.85 and 801.58 is: 1,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.32 : 1,723.85 = 801.58 : x
  2. Step 2: Convert to fraction form
    1,249.32/1,723.85 = 801.58/x
  3. Step 3: Cross multiply
    1,249.32x = 1,723.85 × 801.58
  4. Step 4: Simplify right side
    1,249.32x = 1,381,803.68
  5. Step 5: Solve for x
    x = 1,381,803.68/1,249.32
  6. Step 6: Final answer
    x = 1,106.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.