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Finding the Fourth Proportional to 1,144.32, 1,716.76 and 676.19

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Solution

The fourth proportional to 1,144.32, 1,716.76 and 676.19 is: 1,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.32 : 1,716.76 = 676.19 : x
  2. Step 2: Convert to fraction form
    1,144.32/1,716.76 = 676.19/x
  3. Step 3: Cross multiply
    1,144.32x = 1,716.76 × 676.19
  4. Step 4: Simplify right side
    1,144.32x = 1,160,855.94
  5. Step 5: Solve for x
    x = 1,160,855.94/1,144.32
  6. Step 6: Final answer
    x = 1,014.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.