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Finding the Fourth Proportional to 1,520.23, 2,279.30 and 778.03

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Solution

The fourth proportional to 1,520.23, 2,279.30 and 778.03 is: 1,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.23 : 2,279.30 = 778.03 : x
  2. Step 2: Convert to fraction form
    1,520.23/2,279.30 = 778.03/x
  3. Step 3: Cross multiply
    1,520.23x = 2,279.30 × 778.03
  4. Step 4: Simplify right side
    1,520.23x = 1,773,363.78
  5. Step 5: Solve for x
    x = 1,773,363.78/1,520.23
  6. Step 6: Final answer
    x = 1,166.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.