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Finding the Fourth Proportional to 758.25, 1,129.84 and 676.49

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Solution

The fourth proportional to 758.25, 1,129.84 and 676.49 is: 1,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.25 : 1,129.84 = 676.49 : x
  2. Step 2: Convert to fraction form
    758.25/1,129.84 = 676.49/x
  3. Step 3: Cross multiply
    758.25x = 1,129.84 × 676.49
  4. Step 4: Simplify right side
    758.25x = 764,318.12
  5. Step 5: Solve for x
    x = 764,318.12/758.25
  6. Step 6: Final answer
    x = 1,008.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.