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Finding the Fourth Proportional to 702.86, 1,054.13 and 269.73

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Solution

The fourth proportional to 702.86, 1,054.13 and 269.73 is: 404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.86 : 1,054.13 = 269.73 : x
  2. Step 2: Convert to fraction form
    702.86/1,054.13 = 269.73/x
  3. Step 3: Cross multiply
    702.86x = 1,054.13 × 269.73
  4. Step 4: Simplify right side
    702.86x = 284,329.14
  5. Step 5: Solve for x
    x = 284,329.14/702.86
  6. Step 6: Final answer
    x = 404.53

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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.