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Finding the Fourth Proportional to 1,529.14, 2,294.73 and 663.52

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Solution

The fourth proportional to 1,529.14, 2,294.73 and 663.52 is: 995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.14 : 2,294.73 = 663.52 : x
  2. Step 2: Convert to fraction form
    1,529.14/2,294.73 = 663.52/x
  3. Step 3: Cross multiply
    1,529.14x = 2,294.73 × 663.52
  4. Step 4: Simplify right side
    1,529.14x = 1,522,599.25
  5. Step 5: Solve for x
    x = 1,522,599.25/1,529.14
  6. Step 6: Final answer
    x = 995.72

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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.