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Finding the Fourth Proportional to 692.12, 952.98 and 593.48

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Solution

The fourth proportional to 692.12, 952.98 and 593.48 is: 817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.12 : 952.98 = 593.48 : x
  2. Step 2: Convert to fraction form
    692.12/952.98 = 593.48/x
  3. Step 3: Cross multiply
    692.12x = 952.98 × 593.48
  4. Step 4: Simplify right side
    692.12x = 565,574.57
  5. Step 5: Solve for x
    x = 565,574.57/692.12
  6. Step 6: Final answer
    x = 817.16

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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.