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Finding the Fourth Proportional to 1,129.84, 1,694.55 and 513.39

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Solution

The fourth proportional to 1,129.84, 1,694.55 and 513.39 is: 769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.84 : 1,694.55 = 513.39 : x
  2. Step 2: Convert to fraction form
    1,129.84/1,694.55 = 513.39/x
  3. Step 3: Cross multiply
    1,129.84x = 1,694.55 × 513.39
  4. Step 4: Simplify right side
    1,129.84x = 869,965.02
  5. Step 5: Solve for x
    x = 869,965.02/1,129.84
  6. Step 6: Final answer
    x = 769.99

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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.