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Finding the Fourth Proportional to 1,702.52, 2,553.78 and 729.08

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Solution

The fourth proportional to 1,702.52, 2,553.78 and 729.08 is: 1,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.52 : 2,553.78 = 729.08 : x
  2. Step 2: Convert to fraction form
    1,702.52/2,553.78 = 729.08/x
  3. Step 3: Cross multiply
    1,702.52x = 2,553.78 × 729.08
  4. Step 4: Simplify right side
    1,702.52x = 1,861,909.92
  5. Step 5: Solve for x
    x = 1,861,909.92/1,702.52
  6. Step 6: Final answer
    x = 1,093.62

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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.