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Finding the Fourth Proportional to 890.87, 1,336.50 and 274.57

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Solution

The fourth proportional to 890.87, 1,336.50 and 274.57 is: 411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.87 : 1,336.50 = 274.57 : x
  2. Step 2: Convert to fraction form
    890.87/1,336.50 = 274.57/x
  3. Step 3: Cross multiply
    890.87x = 1,336.50 × 274.57
  4. Step 4: Simplify right side
    890.87x = 366,959.46
  5. Step 5: Solve for x
    x = 366,959.46/890.87
  6. Step 6: Final answer
    x = 411.91

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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.