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Finding the Fourth Proportional to 702.78, 1,054.11 and 396.55

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Solution

The fourth proportional to 702.78, 1,054.11 and 396.55 is: 594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.78 : 1,054.11 = 396.55 : x
  2. Step 2: Convert to fraction form
    702.78/1,054.11 = 396.55/x
  3. Step 3: Cross multiply
    702.78x = 1,054.11 × 396.55
  4. Step 4: Simplify right side
    702.78x = 418,004.20
  5. Step 5: Solve for x
    x = 418,004.20/702.78
  6. Step 6: Final answer
    x = 594.79

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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.