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Finding the Fourth Proportional to 939.21, 1,408.83 and 507.21

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Solution

The fourth proportional to 939.21, 1,408.83 and 507.21 is: 760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.21 : 1,408.83 = 507.21 : x
  2. Step 2: Convert to fraction form
    939.21/1,408.83 = 507.21/x
  3. Step 3: Cross multiply
    939.21x = 1,408.83 × 507.21
  4. Step 4: Simplify right side
    939.21x = 714,572.66
  5. Step 5: Solve for x
    x = 714,572.66/939.21
  6. Step 6: Final answer
    x = 760.82

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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.