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Finding the Fourth Proportional to 1,408.24, 2,112.12 and 382

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Solution

The fourth proportional to 1,408.24, 2,112.12 and 382 is: 572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.24 : 2,112.12 = 382 : x
  2. Step 2: Convert to fraction form
    1,408.24/2,112.12 = 382/x
  3. Step 3: Cross multiply
    1,408.24x = 2,112.12 × 382
  4. Step 4: Simplify right side
    1,408.24x = 806,829.84
  5. Step 5: Solve for x
    x = 806,829.84/1,408.24
  6. Step 6: Final answer
    x = 572.93

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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.