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Finding the Fourth Proportional to 692.64, 1,043.74 and 627.64

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Solution

The fourth proportional to 692.64, 1,043.74 and 627.64 is: 945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.64 : 1,043.74 = 627.64 : x
  2. Step 2: Convert to fraction form
    692.64/1,043.74 = 627.64/x
  3. Step 3: Cross multiply
    692.64x = 1,043.74 × 627.64
  4. Step 4: Simplify right side
    692.64x = 655,092.97
  5. Step 5: Solve for x
    x = 655,092.97/692.64
  6. Step 6: Final answer
    x = 945.79

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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.