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Finding the Fourth Proportional to 1,219.70, 1,830.45 and 758.15

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Solution

The fourth proportional to 1,219.70, 1,830.45 and 758.15 is: 1,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.70 : 1,830.45 = 758.15 : x
  2. Step 2: Convert to fraction form
    1,219.70/1,830.45 = 758.15/x
  3. Step 3: Cross multiply
    1,219.70x = 1,830.45 × 758.15
  4. Step 4: Simplify right side
    1,219.70x = 1,387,756.22
  5. Step 5: Solve for x
    x = 1,387,756.22/1,219.70
  6. Step 6: Final answer
    x = 1,137.79

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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.