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Finding the Fourth Proportional to 1,392.18, 2,087.88 and 418.14

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Solution

The fourth proportional to 1,392.18, 2,087.88 and 418.14 is: 627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.18 : 2,087.88 = 418.14 : x
  2. Step 2: Convert to fraction form
    1,392.18/2,087.88 = 418.14/x
  3. Step 3: Cross multiply
    1,392.18x = 2,087.88 × 418.14
  4. Step 4: Simplify right side
    1,392.18x = 873,026.14
  5. Step 5: Solve for x
    x = 873,026.14/1,392.18
  6. Step 6: Final answer
    x = 627.09

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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.