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Finding the Fourth Proportional to 1,434.62, 2,151.73 and 460.60

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Solution

The fourth proportional to 1,434.62, 2,151.73 and 460.60 is: 690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.62 : 2,151.73 = 460.60 : x
  2. Step 2: Convert to fraction form
    1,434.62/2,151.73 = 460.60/x
  3. Step 3: Cross multiply
    1,434.62x = 2,151.73 × 460.60
  4. Step 4: Simplify right side
    1,434.62x = 991,082.03
  5. Step 5: Solve for x
    x = 991,082.03/1,434.62
  6. Step 6: Final answer
    x = 690.83

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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.