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Finding the Fourth Proportional to 1,408.87, 2,113.05 and 434.76

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Solution

The fourth proportional to 1,408.87, 2,113.05 and 434.76 is: 652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.87 : 2,113.05 = 434.76 : x
  2. Step 2: Convert to fraction form
    1,408.87/2,113.05 = 434.76/x
  3. Step 3: Cross multiply
    1,408.87x = 2,113.05 × 434.76
  4. Step 4: Simplify right side
    1,408.87x = 918,669.62
  5. Step 5: Solve for x
    x = 918,669.62/1,408.87
  6. Step 6: Final answer
    x = 652.06

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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.