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Finding the Fourth Proportional to 1,252.09, 1,878.20 and 327.65

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Solution

The fourth proportional to 1,252.09, 1,878.20 and 327.65 is: 491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.09 : 1,878.20 = 327.65 : x
  2. Step 2: Convert to fraction form
    1,252.09/1,878.20 = 327.65/x
  3. Step 3: Cross multiply
    1,252.09x = 1,878.20 × 327.65
  4. Step 4: Simplify right side
    1,252.09x = 615,392.23
  5. Step 5: Solve for x
    x = 615,392.23/1,252.09
  6. Step 6: Final answer
    x = 491.49

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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.