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Finding the Fourth Proportional to 1,311.35, 1,966.86 and 337.41

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Solution

The fourth proportional to 1,311.35, 1,966.86 and 337.41 is: 506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.35 : 1,966.86 = 337.41 : x
  2. Step 2: Convert to fraction form
    1,311.35/1,966.86 = 337.41/x
  3. Step 3: Cross multiply
    1,311.35x = 1,966.86 × 337.41
  4. Step 4: Simplify right side
    1,311.35x = 663,638.23
  5. Step 5: Solve for x
    x = 663,638.23/1,311.35
  6. Step 6: Final answer
    x = 506.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.