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Finding the Fourth Proportional to 851.18, 1,277.24 and 461.18

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Solution

The fourth proportional to 851.18, 1,277.24 and 461.18 is: 692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.18 : 1,277.24 = 461.18 : x
  2. Step 2: Convert to fraction form
    851.18/1,277.24 = 461.18/x
  3. Step 3: Cross multiply
    851.18x = 1,277.24 × 461.18
  4. Step 4: Simplify right side
    851.18x = 589,028.85
  5. Step 5: Solve for x
    x = 589,028.85/851.18
  6. Step 6: Final answer
    x = 692.02

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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.