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Finding the Fourth Proportional to 1,505.34, 2,257.83 and 409.83

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Solution

The fourth proportional to 1,505.34, 2,257.83 and 409.83 is: 614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.34 : 2,257.83 = 409.83 : x
  2. Step 2: Convert to fraction form
    1,505.34/2,257.83 = 409.83/x
  3. Step 3: Cross multiply
    1,505.34x = 2,257.83 × 409.83
  4. Step 4: Simplify right side
    1,505.34x = 925,326.47
  5. Step 5: Solve for x
    x = 925,326.47/1,505.34
  6. Step 6: Final answer
    x = 614.70

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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.