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Finding the Fourth Proportional to 1,092.54, 1,638.01 and 702.98

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Solution

The fourth proportional to 1,092.54, 1,638.01 and 702.98 is: 1,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.54 : 1,638.01 = 702.98 : x
  2. Step 2: Convert to fraction form
    1,092.54/1,638.01 = 702.98/x
  3. Step 3: Cross multiply
    1,092.54x = 1,638.01 × 702.98
  4. Step 4: Simplify right side
    1,092.54x = 1,151,488.27
  5. Step 5: Solve for x
    x = 1,151,488.27/1,092.54
  6. Step 6: Final answer
    x = 1,053.96

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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.