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Finding the Fourth Proportional to 1,702.27, 2,552.85 and 547.75

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Solution

The fourth proportional to 1,702.27, 2,552.85 and 547.75 is: 821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.27 : 2,552.85 = 547.75 : x
  2. Step 2: Convert to fraction form
    1,702.27/2,552.85 = 547.75/x
  3. Step 3: Cross multiply
    1,702.27x = 2,552.85 × 547.75
  4. Step 4: Simplify right side
    1,702.27x = 1,398,323.59
  5. Step 5: Solve for x
    x = 1,398,323.59/1,702.27
  6. Step 6: Final answer
    x = 821.45

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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.