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Finding the Fourth Proportional to 1,311.84, 1,967.74 and 337.93

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Solution

The fourth proportional to 1,311.84, 1,967.74 and 337.93 is: 506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.84 : 1,967.74 = 337.93 : x
  2. Step 2: Convert to fraction form
    1,311.84/1,967.74 = 337.93/x
  3. Step 3: Cross multiply
    1,311.84x = 1,967.74 × 337.93
  4. Step 4: Simplify right side
    1,311.84x = 664,958.38
  5. Step 5: Solve for x
    x = 664,958.38/1,311.84
  6. Step 6: Final answer
    x = 506.89

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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.