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Finding the Fourth Proportional to 1,488.03, 2,230.68 and 793.66

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Solution

The fourth proportional to 1,488.03, 2,230.68 and 793.66 is: 1,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.03 : 2,230.68 = 793.66 : x
  2. Step 2: Convert to fraction form
    1,488.03/2,230.68 = 793.66/x
  3. Step 3: Cross multiply
    1,488.03x = 2,230.68 × 793.66
  4. Step 4: Simplify right side
    1,488.03x = 1,770,401.49
  5. Step 5: Solve for x
    x = 1,770,401.49/1,488.03
  6. Step 6: Final answer
    x = 1,189.76

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1.5x scale

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.