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Finding the Fourth Proportional to 1,063.61, 1,467.56 and 621.41

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Solution

The fourth proportional to 1,063.61, 1,467.56 and 621.41 is: 857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.61 : 1,467.56 = 621.41 : x
  2. Step 2: Convert to fraction form
    1,063.61/1,467.56 = 621.41/x
  3. Step 3: Cross multiply
    1,063.61x = 1,467.56 × 621.41
  4. Step 4: Simplify right side
    1,063.61x = 911,961.68
  5. Step 5: Solve for x
    x = 911,961.68/1,063.61
  6. Step 6: Final answer
    x = 857.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.