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Finding the Fourth Proportional to 891.26, 1,228.47 and 596.42

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Solution

The fourth proportional to 891.26, 1,228.47 and 596.42 is: 822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.26 : 1,228.47 = 596.42 : x
  2. Step 2: Convert to fraction form
    891.26/1,228.47 = 596.42/x
  3. Step 3: Cross multiply
    891.26x = 1,228.47 × 596.42
  4. Step 4: Simplify right side
    891.26x = 732,684.08
  5. Step 5: Solve for x
    x = 732,684.08/891.26
  6. Step 6: Final answer
    x = 822.08

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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.