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Finding the Fourth Proportional to 851.31, 1,277.44 and 461.30

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Solution

The fourth proportional to 851.31, 1,277.44 and 461.30 is: 692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.31 : 1,277.44 = 461.30 : x
  2. Step 2: Convert to fraction form
    851.31/1,277.44 = 461.30/x
  3. Step 3: Cross multiply
    851.31x = 1,277.44 × 461.30
  4. Step 4: Simplify right side
    851.31x = 589,280.77
  5. Step 5: Solve for x
    x = 589,280.77/851.31
  6. Step 6: Final answer
    x = 692.21

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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.