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Finding the Fourth Proportional to 1,129.43, 1,694.30 and 349.50

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Solution

The fourth proportional to 1,129.43, 1,694.30 and 349.50 is: 524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.43 : 1,694.30 = 349.50 : x
  2. Step 2: Convert to fraction form
    1,129.43/1,694.30 = 349.50/x
  3. Step 3: Cross multiply
    1,129.43x = 1,694.30 × 349.50
  4. Step 4: Simplify right side
    1,129.43x = 592,158.72
  5. Step 5: Solve for x
    x = 592,158.72/1,129.43
  6. Step 6: Final answer
    x = 524.30

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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.