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Finding the Fourth Proportional to 702.78, 1,054.32 and 215.87

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Solution

The fourth proportional to 702.78, 1,054.32 and 215.87 is: 323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.78 : 1,054.32 = 215.87 : x
  2. Step 2: Convert to fraction form
    702.78/1,054.32 = 215.87/x
  3. Step 3: Cross multiply
    702.78x = 1,054.32 × 215.87
  4. Step 4: Simplify right side
    702.78x = 227,589.98
  5. Step 5: Solve for x
    x = 227,589.98/702.78
  6. Step 6: Final answer
    x = 323.84

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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.