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Finding the Fourth Proportional to 1,015.45, 1,523.56 and 399.04

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Solution

The fourth proportional to 1,015.45, 1,523.56 and 399.04 is: 598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.45 : 1,523.56 = 399.04 : x
  2. Step 2: Convert to fraction form
    1,015.45/1,523.56 = 399.04/x
  3. Step 3: Cross multiply
    1,015.45x = 1,523.56 × 399.04
  4. Step 4: Simplify right side
    1,015.45x = 607,961.38
  5. Step 5: Solve for x
    x = 607,961.38/1,015.45
  6. Step 6: Final answer
    x = 598.71

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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.