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Finding the Fourth Proportional to 742.90, 1,116.36 and 396.47

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Solution

The fourth proportional to 742.90, 1,116.36 and 396.47 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.90 : 1,116.36 = 396.47 : x
  2. Step 2: Convert to fraction form
    742.90/1,116.36 = 396.47/x
  3. Step 3: Cross multiply
    742.90x = 1,116.36 × 396.47
  4. Step 4: Simplify right side
    742.90x = 442,603.25
  5. Step 5: Solve for x
    x = 442,603.25/742.90
  6. Step 6: Final answer
    x = 595.78

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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.