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Finding the Fourth Proportional to 1,505.49, 2,258.24 and 409.86

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Solution

The fourth proportional to 1,505.49, 2,258.24 and 409.86 is: 614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.49 : 2,258.24 = 409.86 : x
  2. Step 2: Convert to fraction form
    1,505.49/2,258.24 = 409.86/x
  3. Step 3: Cross multiply
    1,505.49x = 2,258.24 × 409.86
  4. Step 4: Simplify right side
    1,505.49x = 925,562.25
  5. Step 5: Solve for x
    x = 925,562.25/1,505.49
  6. Step 6: Final answer
    x = 614.79

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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.