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Finding the Fourth Proportional to 1,027.28, 1,538.52 and 506.32

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Solution

The fourth proportional to 1,027.28, 1,538.52 and 506.32 is: 758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.28 : 1,538.52 = 506.32 : x
  2. Step 2: Convert to fraction form
    1,027.28/1,538.52 = 506.32/x
  3. Step 3: Cross multiply
    1,027.28x = 1,538.52 × 506.32
  4. Step 4: Simplify right side
    1,027.28x = 778,983.45
  5. Step 5: Solve for x
    x = 778,983.45/1,027.28
  6. Step 6: Final answer
    x = 758.30

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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.