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Finding the Fourth Proportional to 1,119.44, 1,543.20 and 786.88

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Solution

The fourth proportional to 1,119.44, 1,543.20 and 786.88 is: 1,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.44 : 1,543.20 = 786.88 : x
  2. Step 2: Convert to fraction form
    1,119.44/1,543.20 = 786.88/x
  3. Step 3: Cross multiply
    1,119.44x = 1,543.20 × 786.88
  4. Step 4: Simplify right side
    1,119.44x = 1,214,313.22
  5. Step 5: Solve for x
    x = 1,214,313.22/1,119.44
  6. Step 6: Final answer
    x = 1,084.75

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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.