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Finding the Fourth Proportional to 850.13, 1,171.71 and 692.43

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Solution

The fourth proportional to 850.13, 1,171.71 and 692.43 is: 954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.13 : 1,171.71 = 692.43 : x
  2. Step 2: Convert to fraction form
    850.13/1,171.71 = 692.43/x
  3. Step 3: Cross multiply
    850.13x = 1,171.71 × 692.43
  4. Step 4: Simplify right side
    850.13x = 811,327.16
  5. Step 5: Solve for x
    x = 811,327.16/850.13
  6. Step 6: Final answer
    x = 954.35

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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.