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Finding the Fourth Proportional to 1,408.89, 2,113.35 and 543

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Solution

The fourth proportional to 1,408.89, 2,113.35 and 543 is: 814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.89 : 2,113.35 = 543 : x
  2. Step 2: Convert to fraction form
    1,408.89/2,113.35 = 543/x
  3. Step 3: Cross multiply
    1,408.89x = 2,113.35 × 543
  4. Step 4: Simplify right side
    1,408.89x = 1,147,549.05
  5. Step 5: Solve for x
    x = 1,147,549.05/1,408.89
  6. Step 6: Final answer
    x = 814.51

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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.