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Finding the Fourth Proportional to 1,505, 2,257.62 and 479

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Solution

The fourth proportional to 1,505, 2,257.62 and 479 is: 718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505 : 2,257.62 = 479 : x
  2. Step 2: Convert to fraction form
    1,505/2,257.62 = 479/x
  3. Step 3: Cross multiply
    1,505x = 2,257.62 × 479
  4. Step 4: Simplify right side
    1,505x = 1,081,399.98
  5. Step 5: Solve for x
    x = 1,081,399.98/1,505
  6. Step 6: Final answer
    x = 718.54

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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.