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Finding the Fourth Proportional to 938.96, 1,408.08 and 841.76

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Solution

The fourth proportional to 938.96, 1,408.08 and 841.76 is: 1,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.96 : 1,408.08 = 841.76 : x
  2. Step 2: Convert to fraction form
    938.96/1,408.08 = 841.76/x
  3. Step 3: Cross multiply
    938.96x = 1,408.08 × 841.76
  4. Step 4: Simplify right side
    938.96x = 1,185,265.42
  5. Step 5: Solve for x
    x = 1,185,265.42/938.96
  6. Step 6: Final answer
    x = 1,262.32

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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.