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Finding the Fourth Proportional to 692.60, 1,035.84 and 616.10

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Solution

The fourth proportional to 692.60, 1,035.84 and 616.10 is: 921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.60 : 1,035.84 = 616.10 : x
  2. Step 2: Convert to fraction form
    692.60/1,035.84 = 616.10/x
  3. Step 3: Cross multiply
    692.60x = 1,035.84 × 616.10
  4. Step 4: Simplify right side
    692.60x = 638,181.02
  5. Step 5: Solve for x
    x = 638,181.02/692.60
  6. Step 6: Final answer
    x = 921.43

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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.