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Finding the Fourth Proportional to 692.35, 1,035.47 and 615.85

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Solution

The fourth proportional to 692.35, 1,035.47 and 615.85 is: 921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.35 : 1,035.47 = 615.85 : x
  2. Step 2: Convert to fraction form
    692.35/1,035.47 = 615.85/x
  3. Step 3: Cross multiply
    692.35x = 1,035.47 × 615.85
  4. Step 4: Simplify right side
    692.35x = 637,691.12
  5. Step 5: Solve for x
    x = 637,691.12/692.35
  6. Step 6: Final answer
    x = 921.05

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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.