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Finding the Fourth Proportional to 1,015.45, 1,523.25 and 581.69

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Solution

The fourth proportional to 1,015.45, 1,523.25 and 581.69 is: 872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.45 : 1,523.25 = 581.69 : x
  2. Step 2: Convert to fraction form
    1,015.45/1,523.25 = 581.69/x
  3. Step 3: Cross multiply
    1,015.45x = 1,523.25 × 581.69
  4. Step 4: Simplify right side
    1,015.45x = 886,063.10
  5. Step 5: Solve for x
    x = 886,063.10/1,015.45
  6. Step 6: Final answer
    x = 872.58

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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.