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Finding the Fourth Proportional to 1,702.47, 2,553.71 and 727.89

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Solution

The fourth proportional to 1,702.47, 2,553.71 and 727.89 is: 1,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.47 : 2,553.71 = 727.89 : x
  2. Step 2: Convert to fraction form
    1,702.47/2,553.71 = 727.89/x
  3. Step 3: Cross multiply
    1,702.47x = 2,553.71 × 727.89
  4. Step 4: Simplify right side
    1,702.47x = 1,858,827.78
  5. Step 5: Solve for x
    x = 1,858,827.78/1,702.47
  6. Step 6: Final answer
    x = 1,091.84

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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.