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Finding the Fourth Proportional to 1,006.14, 1,388.22 and 633.30

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Solution

The fourth proportional to 1,006.14, 1,388.22 and 633.30 is: 873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.14 : 1,388.22 = 633.30 : x
  2. Step 2: Convert to fraction form
    1,006.14/1,388.22 = 633.30/x
  3. Step 3: Cross multiply
    1,006.14x = 1,388.22 × 633.30
  4. Step 4: Simplify right side
    1,006.14x = 879,159.73
  5. Step 5: Solve for x
    x = 879,159.73/1,006.14
  6. Step 6: Final answer
    x = 873.79

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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.