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Finding the Fourth Proportional to 1,505.51, 2,257.98 and 409.73

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Solution

The fourth proportional to 1,505.51, 2,257.98 and 409.73 is: 614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.51 : 2,257.98 = 409.73 : x
  2. Step 2: Convert to fraction form
    1,505.51/2,257.98 = 409.73/x
  3. Step 3: Cross multiply
    1,505.51x = 2,257.98 × 409.73
  4. Step 4: Simplify right side
    1,505.51x = 925,150.86
  5. Step 5: Solve for x
    x = 925,150.86/1,505.51
  6. Step 6: Final answer
    x = 614.51

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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.