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Finding the Fourth Proportional to 692.94, 1,038.19 and 617.61

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Solution

The fourth proportional to 692.94, 1,038.19 and 617.61 is: 925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.94 : 1,038.19 = 617.61 : x
  2. Step 2: Convert to fraction form
    692.94/1,038.19 = 617.61/x
  3. Step 3: Cross multiply
    692.94x = 1,038.19 × 617.61
  4. Step 4: Simplify right side
    692.94x = 641,196.53
  5. Step 5: Solve for x
    x = 641,196.53/692.94
  6. Step 6: Final answer
    x = 925.33

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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.