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Finding the Fourth Proportional to 1,502.60, 2,257.86 and 809.78

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Solution

The fourth proportional to 1,502.60, 2,257.86 and 809.78 is: 1,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.60 : 2,257.86 = 809.78 : x
  2. Step 2: Convert to fraction form
    1,502.60/2,257.86 = 809.78/x
  3. Step 3: Cross multiply
    1,502.60x = 2,257.86 × 809.78
  4. Step 4: Simplify right side
    1,502.60x = 1,828,369.87
  5. Step 5: Solve for x
    x = 1,828,369.87/1,502.60
  6. Step 6: Final answer
    x = 1,216.80

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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.