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Finding the Fourth Proportional to 1,408.58, 2,112.68 and 434.60

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Solution

The fourth proportional to 1,408.58, 2,112.68 and 434.60 is: 651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.58 : 2,112.68 = 434.60 : x
  2. Step 2: Convert to fraction form
    1,408.58/2,112.68 = 434.60/x
  3. Step 3: Cross multiply
    1,408.58x = 2,112.68 × 434.60
  4. Step 4: Simplify right side
    1,408.58x = 918,170.73
  5. Step 5: Solve for x
    x = 918,170.73/1,408.58
  6. Step 6: Final answer
    x = 651.84

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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.