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Finding the Fourth Proportional to 1,082.32, 1,624.72 and 821.68

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Solution

The fourth proportional to 1,082.32, 1,624.72 and 821.68 is: 1,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.32 : 1,624.72 = 821.68 : x
  2. Step 2: Convert to fraction form
    1,082.32/1,624.72 = 821.68/x
  3. Step 3: Cross multiply
    1,082.32x = 1,624.72 × 821.68
  4. Step 4: Simplify right side
    1,082.32x = 1,334,999.93
  5. Step 5: Solve for x
    x = 1,334,999.93/1,082.32
  6. Step 6: Final answer
    x = 1,233.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.