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Finding the Fourth Proportional to 692.66, 954.92 and 506.16

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Solution

The fourth proportional to 692.66, 954.92 and 506.16 is: 697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.66 : 954.92 = 506.16 : x
  2. Step 2: Convert to fraction form
    692.66/954.92 = 506.16/x
  3. Step 3: Cross multiply
    692.66x = 954.92 × 506.16
  4. Step 4: Simplify right side
    692.66x = 483,342.31
  5. Step 5: Solve for x
    x = 483,342.31/692.66
  6. Step 6: Final answer
    x = 697.81

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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.