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Finding the Fourth Proportional to 692.25, 1,035.92 and 432.38

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Solution

The fourth proportional to 692.25, 1,035.92 and 432.38 is: 647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.25 : 1,035.92 = 432.38 : x
  2. Step 2: Convert to fraction form
    692.25/1,035.92 = 432.38/x
  3. Step 3: Cross multiply
    692.25x = 1,035.92 × 432.38
  4. Step 4: Simplify right side
    692.25x = 447,903.75
  5. Step 5: Solve for x
    x = 447,903.75/692.25
  6. Step 6: Final answer
    x = 647.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.