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Finding the Fourth Proportional to 692.67, 1,039.18 and 346.17

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Solution

The fourth proportional to 692.67, 1,039.18 and 346.17 is: 519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.67 : 1,039.18 = 346.17 : x
  2. Step 2: Convert to fraction form
    692.67/1,039.18 = 346.17/x
  3. Step 3: Cross multiply
    692.67x = 1,039.18 × 346.17
  4. Step 4: Simplify right side
    692.67x = 359,737.27
  5. Step 5: Solve for x
    x = 359,737.27/692.67
  6. Step 6: Final answer
    x = 519.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.