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Finding the Fourth Proportional to 1,529.36, 2,294.60 and 663.44

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Solution

The fourth proportional to 1,529.36, 2,294.60 and 663.44 is: 995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.36 : 2,294.60 = 663.44 : x
  2. Step 2: Convert to fraction form
    1,529.36/2,294.60 = 663.44/x
  3. Step 3: Cross multiply
    1,529.36x = 2,294.60 × 663.44
  4. Step 4: Simplify right side
    1,529.36x = 1,522,329.42
  5. Step 5: Solve for x
    x = 1,522,329.42/1,529.36
  6. Step 6: Final answer
    x = 995.40

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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.