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Finding the Fourth Proportional to 692.82, 954.78 and 495.99

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Solution

The fourth proportional to 692.82, 954.78 and 495.99 is: 683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.82 : 954.78 = 495.99 : x
  2. Step 2: Convert to fraction form
    692.82/954.78 = 495.99/x
  3. Step 3: Cross multiply
    692.82x = 954.78 × 495.99
  4. Step 4: Simplify right side
    692.82x = 473,559.47
  5. Step 5: Solve for x
    x = 473,559.47/692.82
  6. Step 6: Final answer
    x = 683.52

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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.