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Finding the Fourth Proportional to 1,118.46, 1,544.09 and 856.92

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Solution

The fourth proportional to 1,118.46, 1,544.09 and 856.92 is: 1,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.46 : 1,544.09 = 856.92 : x
  2. Step 2: Convert to fraction form
    1,118.46/1,544.09 = 856.92/x
  3. Step 3: Cross multiply
    1,118.46x = 1,544.09 × 856.92
  4. Step 4: Simplify right side
    1,118.46x = 1,323,157.32
  5. Step 5: Solve for x
    x = 1,323,157.32/1,118.46
  6. Step 6: Final answer
    x = 1,183.02

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Why These Related Problems?

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