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Finding the Fourth Proportional to 1,278.85, 1,764.26 and 747.70

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Solution

The fourth proportional to 1,278.85, 1,764.26 and 747.70 is: 1,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.85 : 1,764.26 = 747.70 : x
  2. Step 2: Convert to fraction form
    1,278.85/1,764.26 = 747.70/x
  3. Step 3: Cross multiply
    1,278.85x = 1,764.26 × 747.70
  4. Step 4: Simplify right side
    1,278.85x = 1,319,137.20
  5. Step 5: Solve for x
    x = 1,319,137.20/1,278.85
  6. Step 6: Final answer
    x = 1,031.50

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1.5x scale

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.