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Finding the Fourth Proportional to 851.66, 1,277.19 and 412.65

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Solution

The fourth proportional to 851.66, 1,277.19 and 412.65 is: 618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.66 : 1,277.19 = 412.65 : x
  2. Step 2: Convert to fraction form
    851.66/1,277.19 = 412.65/x
  3. Step 3: Cross multiply
    851.66x = 1,277.19 × 412.65
  4. Step 4: Simplify right side
    851.66x = 527,032.45
  5. Step 5: Solve for x
    x = 527,032.45/851.66
  6. Step 6: Final answer
    x = 618.83

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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.