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Finding the Fourth Proportional to 1,015.50, 1,401.49 and 622.45

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Solution

The fourth proportional to 1,015.50, 1,401.49 and 622.45 is: 859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.50 : 1,401.49 = 622.45 : x
  2. Step 2: Convert to fraction form
    1,015.50/1,401.49 = 622.45/x
  3. Step 3: Cross multiply
    1,015.50x = 1,401.49 × 622.45
  4. Step 4: Simplify right side
    1,015.50x = 872,357.45
  5. Step 5: Solve for x
    x = 872,357.45/1,015.50
  6. Step 6: Final answer
    x = 859.04

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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.