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Finding the Fourth Proportional to 1,015.64, 1,523.18 and 285.24

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Solution

The fourth proportional to 1,015.64, 1,523.18 and 285.24 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.64 : 1,523.18 = 285.24 : x
  2. Step 2: Convert to fraction form
    1,015.64/1,523.18 = 285.24/x
  3. Step 3: Cross multiply
    1,015.64x = 1,523.18 × 285.24
  4. Step 4: Simplify right side
    1,015.64x = 434,471.86
  5. Step 5: Solve for x
    x = 434,471.86/1,015.64
  6. Step 6: Final answer
    x = 427.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.