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Finding the Fourth Proportional to 692.59, 954.29 and 535.25

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Solution

The fourth proportional to 692.59, 954.29 and 535.25 is: 737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.59 : 954.29 = 535.25 : x
  2. Step 2: Convert to fraction form
    692.59/954.29 = 535.25/x
  3. Step 3: Cross multiply
    692.59x = 954.29 × 535.25
  4. Step 4: Simplify right side
    692.59x = 510,780.29
  5. Step 5: Solve for x
    x = 510,780.29/692.59
  6. Step 6: Final answer
    x = 737.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.