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Finding the Fourth Proportional to 1,129.73, 1,694.55 and 349.70

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Solution

The fourth proportional to 1,129.73, 1,694.55 and 349.70 is: 524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.73 : 1,694.55 = 349.70 : x
  2. Step 2: Convert to fraction form
    1,129.73/1,694.55 = 349.70/x
  3. Step 3: Cross multiply
    1,129.73x = 1,694.55 × 349.70
  4. Step 4: Simplify right side
    1,129.73x = 592,584.14
  5. Step 5: Solve for x
    x = 592,584.14/1,129.73
  6. Step 6: Final answer
    x = 524.54

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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.