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Finding the Fourth Proportional to 1,230.27, 1,697.30 and 757.84

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Solution

The fourth proportional to 1,230.27, 1,697.30 and 757.84 is: 1,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.27 : 1,697.30 = 757.84 : x
  2. Step 2: Convert to fraction form
    1,230.27/1,697.30 = 757.84/x
  3. Step 3: Cross multiply
    1,230.27x = 1,697.30 × 757.84
  4. Step 4: Simplify right side
    1,230.27x = 1,286,273.80
  5. Step 5: Solve for x
    x = 1,286,273.80/1,230.27
  6. Step 6: Final answer
    x = 1,045.52

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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.