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Finding the Fourth Proportional to 1,311.89, 1,966.86 and 434.07

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Solution

The fourth proportional to 1,311.89, 1,966.86 and 434.07 is: 650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.89 : 1,966.86 = 434.07 : x
  2. Step 2: Convert to fraction form
    1,311.89/1,966.86 = 434.07/x
  3. Step 3: Cross multiply
    1,311.89x = 1,966.86 × 434.07
  4. Step 4: Simplify right side
    1,311.89x = 853,754.92
  5. Step 5: Solve for x
    x = 853,754.92/1,311.89
  6. Step 6: Final answer
    x = 650.78

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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.