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Finding the Fourth Proportional to 1,252.22, 1,878.42 and 386.42

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Solution

The fourth proportional to 1,252.22, 1,878.42 and 386.42 is: 579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.22 : 1,878.42 = 386.42 : x
  2. Step 2: Convert to fraction form
    1,252.22/1,878.42 = 386.42/x
  3. Step 3: Cross multiply
    1,252.22x = 1,878.42 × 386.42
  4. Step 4: Simplify right side
    1,252.22x = 725,859.06
  5. Step 5: Solve for x
    x = 725,859.06/1,252.22
  6. Step 6: Final answer
    x = 579.66

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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.