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Finding the Fourth Proportional to 1,412.44, 2,118.78 and 386.44

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Solution

The fourth proportional to 1,412.44, 2,118.78 and 386.44 is: 579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.44 : 2,118.78 = 386.44 : x
  2. Step 2: Convert to fraction form
    1,412.44/2,118.78 = 386.44/x
  3. Step 3: Cross multiply
    1,412.44x = 2,118.78 × 386.44
  4. Step 4: Simplify right side
    1,412.44x = 818,781.34
  5. Step 5: Solve for x
    x = 818,781.34/1,412.44
  6. Step 6: Final answer
    x = 579.69

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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.