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Finding the Fourth Proportional to 1,143.88, 1,716.32 and 450.76

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Solution

The fourth proportional to 1,143.88, 1,716.32 and 450.76 is: 676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.88 : 1,716.32 = 450.76 : x
  2. Step 2: Convert to fraction form
    1,143.88/1,716.32 = 450.76/x
  3. Step 3: Cross multiply
    1,143.88x = 1,716.32 × 450.76
  4. Step 4: Simplify right side
    1,143.88x = 773,648.40
  5. Step 5: Solve for x
    x = 773,648.40/1,143.88
  6. Step 6: Final answer
    x = 676.34

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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.