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Finding the Fourth Proportional to 1,702.45, 2,553.68 and 548.20

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Solution

The fourth proportional to 1,702.45, 2,553.68 and 548.20 is: 822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.45 : 2,553.68 = 548.20 : x
  2. Step 2: Convert to fraction form
    1,702.45/2,553.68 = 548.20/x
  3. Step 3: Cross multiply
    1,702.45x = 2,553.68 × 548.20
  4. Step 4: Simplify right side
    1,702.45x = 1,399,915.98
  5. Step 5: Solve for x
    x = 1,399,915.98/1,702.45
  6. Step 6: Final answer
    x = 822.30

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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.