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Finding the Fourth Proportional to 933.22, 1,396.79 and 566.29

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Solution

The fourth proportional to 933.22, 1,396.79 and 566.29 is: 847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.22 : 1,396.79 = 566.29 : x
  2. Step 2: Convert to fraction form
    933.22/1,396.79 = 566.29/x
  3. Step 3: Cross multiply
    933.22x = 1,396.79 × 566.29
  4. Step 4: Simplify right side
    933.22x = 790,978.39
  5. Step 5: Solve for x
    x = 790,978.39/933.22
  6. Step 6: Final answer
    x = 847.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.