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Finding the Fourth Proportional to 708.58, 974.82 and 692.20

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Solution

The fourth proportional to 708.58, 974.82 and 692.20 is: 952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.58 : 974.82 = 692.20 : x
  2. Step 2: Convert to fraction form
    708.58/974.82 = 692.20/x
  3. Step 3: Cross multiply
    708.58x = 974.82 × 692.20
  4. Step 4: Simplify right side
    708.58x = 674,770.40
  5. Step 5: Solve for x
    x = 674,770.40/708.58
  6. Step 6: Final answer
    x = 952.29

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