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Finding the Fourth Proportional to 851.46, 1,277.16 and 418.50

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Solution

The fourth proportional to 851.46, 1,277.16 and 418.50 is: 627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.46 : 1,277.16 = 418.50 : x
  2. Step 2: Convert to fraction form
    851.46/1,277.16 = 418.50/x
  3. Step 3: Cross multiply
    851.46x = 1,277.16 × 418.50
  4. Step 4: Simplify right side
    851.46x = 534,491.46
  5. Step 5: Solve for x
    x = 534,491.46/851.46
  6. Step 6: Final answer
    x = 627.74

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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.