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Finding the Fourth Proportional to 967.52, 1,335.82 and 574.67

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Solution

The fourth proportional to 967.52, 1,335.82 and 574.67 is: 793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.52 : 1,335.82 = 574.67 : x
  2. Step 2: Convert to fraction form
    967.52/1,335.82 = 574.67/x
  3. Step 3: Cross multiply
    967.52x = 1,335.82 × 574.67
  4. Step 4: Simplify right side
    967.52x = 767,655.68
  5. Step 5: Solve for x
    x = 767,655.68/967.52
  6. Step 6: Final answer
    x = 793.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.