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Finding the Fourth Proportional to 967.33, 1,335.25 and 574.33

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Solution

The fourth proportional to 967.33, 1,335.25 and 574.33 is: 792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.33 : 1,335.25 = 574.33 : x
  2. Step 2: Convert to fraction form
    967.33/1,335.25 = 574.33/x
  3. Step 3: Cross multiply
    967.33x = 1,335.25 × 574.33
  4. Step 4: Simplify right side
    967.33x = 766,874.13
  5. Step 5: Solve for x
    x = 766,874.13/967.33
  6. Step 6: Final answer
    x = 792.77

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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.