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Finding the Fourth Proportional to 967.23, 1,334.75 and 574.02

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Solution

The fourth proportional to 967.23, 1,334.75 and 574.02 is: 792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.23 : 1,334.75 = 574.02 : x
  2. Step 2: Convert to fraction form
    967.23/1,334.75 = 574.02/x
  3. Step 3: Cross multiply
    967.23x = 1,334.75 × 574.02
  4. Step 4: Simplify right side
    967.23x = 766,170.32
  5. Step 5: Solve for x
    x = 766,170.32/967.23
  6. Step 6: Final answer
    x = 792.13

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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.