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Finding the Fourth Proportional to 692.84, 954.92 and 506.03

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Solution

The fourth proportional to 692.84, 954.92 and 506.03 is: 697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.84 : 954.92 = 506.03 : x
  2. Step 2: Convert to fraction form
    692.84/954.92 = 506.03/x
  3. Step 3: Cross multiply
    692.84x = 954.92 × 506.03
  4. Step 4: Simplify right side
    692.84x = 483,214.66
  5. Step 5: Solve for x
    x = 483,214.66/692.84
  6. Step 6: Final answer
    x = 697.44

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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.