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Finding the Fourth Proportional to 1,006.05, 1,388.25 and 633

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Solution

The fourth proportional to 1,006.05, 1,388.25 and 633 is: 873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.05 : 1,388.25 = 633 : x
  2. Step 2: Convert to fraction form
    1,006.05/1,388.25 = 633/x
  3. Step 3: Cross multiply
    1,006.05x = 1,388.25 × 633
  4. Step 4: Simplify right side
    1,006.05x = 878,762.25
  5. Step 5: Solve for x
    x = 878,762.25/1,006.05
  6. Step 6: Final answer
    x = 873.48

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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.