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Finding the Fourth Proportional to 702.98, 1,054.14 and 269.84

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Solution

The fourth proportional to 702.98, 1,054.14 and 269.84 is: 404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.98 : 1,054.14 = 269.84 : x
  2. Step 2: Convert to fraction form
    702.98/1,054.14 = 269.84/x
  3. Step 3: Cross multiply
    702.98x = 1,054.14 × 269.84
  4. Step 4: Simplify right side
    702.98x = 284,449.14
  5. Step 5: Solve for x
    x = 284,449.14/702.98
  6. Step 6: Final answer
    x = 404.63

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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.