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Finding the Fourth Proportional to 967.21, 1,333.84 and 652.53

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Solution

The fourth proportional to 967.21, 1,333.84 and 652.53 is: 899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.21 : 1,333.84 = 652.53 : x
  2. Step 2: Convert to fraction form
    967.21/1,333.84 = 652.53/x
  3. Step 3: Cross multiply
    967.21x = 1,333.84 × 652.53
  4. Step 4: Simplify right side
    967.21x = 870,370.62
  5. Step 5: Solve for x
    x = 870,370.62/967.21
  6. Step 6: Final answer
    x = 899.88

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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.