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Finding the Fourth Proportional to 967.12, 1,334.64 and 574.15

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Solution

The fourth proportional to 967.12, 1,334.64 and 574.15 is: 792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.12 : 1,334.64 = 574.15 : x
  2. Step 2: Convert to fraction form
    967.12/1,334.64 = 574.15/x
  3. Step 3: Cross multiply
    967.12x = 1,334.64 × 574.15
  4. Step 4: Simplify right side
    967.12x = 766,283.56
  5. Step 5: Solve for x
    x = 766,283.56/967.12
  6. Step 6: Final answer
    x = 792.34

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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.