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Finding the Fourth Proportional to 753.53, 1,130.90 and 676.98

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Solution

The fourth proportional to 753.53, 1,130.90 and 676.98 is: 1,016.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.53 : 1,130.90 = 676.98 : x
  2. Step 2: Convert to fraction form
    753.53/1,130.90 = 676.98/x
  3. Step 3: Cross multiply
    753.53x = 1,130.90 × 676.98
  4. Step 4: Simplify right side
    753.53x = 765,593.30
  5. Step 5: Solve for x
    x = 765,593.30/753.53
  6. Step 6: Final answer
    x = 1,016.02

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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.