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Finding the Fourth Proportional to 967.38, 1,334.74 and 574.18

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Solution

The fourth proportional to 967.38, 1,334.74 and 574.18 is: 792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.38 : 1,334.74 = 574.18 : x
  2. Step 2: Convert to fraction form
    967.38/1,334.74 = 574.18/x
  3. Step 3: Cross multiply
    967.38x = 1,334.74 × 574.18
  4. Step 4: Simplify right side
    967.38x = 766,381.01
  5. Step 5: Solve for x
    x = 766,381.01/967.38
  6. Step 6: Final answer
    x = 792.22

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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.