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Finding the Fourth Proportional to 1,082.96, 1,624.53 and 466.68

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Solution

The fourth proportional to 1,082.96, 1,624.53 and 466.68 is: 700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.96 : 1,624.53 = 466.68 : x
  2. Step 2: Convert to fraction form
    1,082.96/1,624.53 = 466.68/x
  3. Step 3: Cross multiply
    1,082.96x = 1,624.53 × 466.68
  4. Step 4: Simplify right side
    1,082.96x = 758,135.66
  5. Step 5: Solve for x
    x = 758,135.66/1,082.96
  6. Step 6: Final answer
    x = 700.06

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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.