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Finding the Fourth Proportional to 1,408.79, 2,113.08 and 484.31

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Solution

The fourth proportional to 1,408.79, 2,113.08 and 484.31 is: 726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.79 : 2,113.08 = 484.31 : x
  2. Step 2: Convert to fraction form
    1,408.79/2,113.08 = 484.31/x
  3. Step 3: Cross multiply
    1,408.79x = 2,113.08 × 484.31
  4. Step 4: Simplify right side
    1,408.79x = 1,023,385.77
  5. Step 5: Solve for x
    x = 1,023,385.77/1,408.79
  6. Step 6: Final answer
    x = 726.43

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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.