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Finding the Fourth Proportional to 1,015.69, 1,523.61 and 438.56

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Solution

The fourth proportional to 1,015.69, 1,523.61 and 438.56 is: 657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.69 : 1,523.61 = 438.56 : x
  2. Step 2: Convert to fraction form
    1,015.69/1,523.61 = 438.56/x
  3. Step 3: Cross multiply
    1,015.69x = 1,523.61 × 438.56
  4. Step 4: Simplify right side
    1,015.69x = 668,196.57
  5. Step 5: Solve for x
    x = 668,196.57/1,015.69
  6. Step 6: Final answer
    x = 657.88

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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.