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Finding the Fourth Proportional to 1,408.74, 2,113.22 and 434.84

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Solution

The fourth proportional to 1,408.74, 2,113.22 and 434.84 is: 652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.74 : 2,113.22 = 434.84 : x
  2. Step 2: Convert to fraction form
    1,408.74/2,113.22 = 434.84/x
  3. Step 3: Cross multiply
    1,408.74x = 2,113.22 × 434.84
  4. Step 4: Simplify right side
    1,408.74x = 918,912.58
  5. Step 5: Solve for x
    x = 918,912.58/1,408.74
  6. Step 6: Final answer
    x = 652.29

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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.