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Finding the Fourth Proportional to 1,505.39, 2,257.53 and 639.77

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Solution

The fourth proportional to 1,505.39, 2,257.53 and 639.77 is: 959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.39 : 2,257.53 = 639.77 : x
  2. Step 2: Convert to fraction form
    1,505.39/2,257.53 = 639.77/x
  3. Step 3: Cross multiply
    1,505.39x = 2,257.53 × 639.77
  4. Step 4: Simplify right side
    1,505.39x = 1,444,299.97
  5. Step 5: Solve for x
    x = 1,444,299.97/1,505.39
  6. Step 6: Final answer
    x = 959.42

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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.