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Finding the Fourth Proportional to 1,408, 2,112 and 496

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Solution

The fourth proportional to 1,408, 2,112 and 496 is: 744

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408 : 2,112 = 496 : x
  2. Step 2: Convert to fraction form
    1,408/2,112 = 496/x
  3. Step 3: Cross multiply
    1,408x = 2,112 × 496
  4. Step 4: Simplify right side
    1,408x = 1,047,552
  5. Step 5: Solve for x
    x = 1,047,552/1,408
  6. Step 6: Final answer
    x = 744

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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.