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Finding the Fourth Proportional to 692.19, 1,044.27 and 658.04

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Solution

The fourth proportional to 692.19, 1,044.27 and 658.04 is: 992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.19 : 1,044.27 = 658.04 : x
  2. Step 2: Convert to fraction form
    692.19/1,044.27 = 658.04/x
  3. Step 3: Cross multiply
    692.19x = 1,044.27 × 658.04
  4. Step 4: Simplify right side
    692.19x = 687,166.21
  5. Step 5: Solve for x
    x = 687,166.21/692.19
  6. Step 6: Final answer
    x = 992.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.