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Finding the Fourth Proportional to 1,027.67, 1,539.36 and 480.32

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Solution

The fourth proportional to 1,027.67, 1,539.36 and 480.32 is: 719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.67 : 1,539.36 = 480.32 : x
  2. Step 2: Convert to fraction form
    1,027.67/1,539.36 = 480.32/x
  3. Step 3: Cross multiply
    1,027.67x = 1,539.36 × 480.32
  4. Step 4: Simplify right side
    1,027.67x = 739,377.70
  5. Step 5: Solve for x
    x = 739,377.70/1,027.67
  6. Step 6: Final answer
    x = 719.47

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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.