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Finding the Fourth Proportional to 782.21, 1,175.02 and 474.21

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Solution

The fourth proportional to 782.21, 1,175.02 and 474.21 is: 712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.21 : 1,175.02 = 474.21 : x
  2. Step 2: Convert to fraction form
    782.21/1,175.02 = 474.21/x
  3. Step 3: Cross multiply
    782.21x = 1,175.02 × 474.21
  4. Step 4: Simplify right side
    782.21x = 557,205.05
  5. Step 5: Solve for x
    x = 557,205.05/782.21
  6. Step 6: Final answer
    x = 712.34

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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.