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Finding the Fourth Proportional to 851.27, 1,174.76 and 501.95

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Solution

The fourth proportional to 851.27, 1,174.76 and 501.95 is: 692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.27 : 1,174.76 = 501.95 : x
  2. Step 2: Convert to fraction form
    851.27/1,174.76 = 501.95/x
  3. Step 3: Cross multiply
    851.27x = 1,174.76 × 501.95
  4. Step 4: Simplify right side
    851.27x = 589,662.40
  5. Step 5: Solve for x
    x = 589,662.40/851.27
  6. Step 6: Final answer
    x = 692.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.