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Finding the Fourth Proportional to 886.20, 1,222.26 and 571.51

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Solution

The fourth proportional to 886.20, 1,222.26 and 571.51 is: 788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.20 : 1,222.26 = 571.51 : x
  2. Step 2: Convert to fraction form
    886.20/1,222.26 = 571.51/x
  3. Step 3: Cross multiply
    886.20x = 1,222.26 × 571.51
  4. Step 4: Simplify right side
    886.20x = 698,533.81
  5. Step 5: Solve for x
    x = 698,533.81/886.20
  6. Step 6: Final answer
    x = 788.23

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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.