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Finding the Fourth Proportional to 1,129.90, 1,694.30 and 513.19

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Solution

The fourth proportional to 1,129.90, 1,694.30 and 513.19 is: 769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.90 : 1,694.30 = 513.19 : x
  2. Step 2: Convert to fraction form
    1,129.90/1,694.30 = 513.19/x
  3. Step 3: Cross multiply
    1,129.90x = 1,694.30 × 513.19
  4. Step 4: Simplify right side
    1,129.90x = 869,490.73
  5. Step 5: Solve for x
    x = 869,490.73/1,129.90
  6. Step 6: Final answer
    x = 769.53

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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.