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Finding the Fourth Proportional to 692.27, 952.50 and 598.71

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Solution

The fourth proportional to 692.27, 952.50 and 598.71 is: 823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.27 : 952.50 = 598.71 : x
  2. Step 2: Convert to fraction form
    692.27/952.50 = 598.71/x
  3. Step 3: Cross multiply
    692.27x = 952.50 × 598.71
  4. Step 4: Simplify right side
    692.27x = 570,271.28
  5. Step 5: Solve for x
    x = 570,271.28/692.27
  6. Step 6: Final answer
    x = 823.77

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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.