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Finding the Fourth Proportional to 692.12, 954.45 and 587.50

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Solution

The fourth proportional to 692.12, 954.45 and 587.50 is: 810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.12 : 954.45 = 587.50 : x
  2. Step 2: Convert to fraction form
    692.12/954.45 = 587.50/x
  3. Step 3: Cross multiply
    692.12x = 954.45 × 587.50
  4. Step 4: Simplify right side
    692.12x = 560,736.99
  5. Step 5: Solve for x
    x = 560,736.99/692.12
  6. Step 6: Final answer
    x = 810.17

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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.