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Finding the Fourth Proportional to 967.21, 1,334.75 and 525.11

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Solution

The fourth proportional to 967.21, 1,334.75 and 525.11 is: 724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.21 : 1,334.75 = 525.11 : x
  2. Step 2: Convert to fraction form
    967.21/1,334.75 = 525.11/x
  3. Step 3: Cross multiply
    967.21x = 1,334.75 × 525.11
  4. Step 4: Simplify right side
    967.21x = 700,890.57
  5. Step 5: Solve for x
    x = 700,890.57/967.21
  6. Step 6: Final answer
    x = 724.65

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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.