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Finding the Fourth Proportional to 692.55, 954.76 and 471.12

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Solution

The fourth proportional to 692.55, 954.76 and 471.12 is: 649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.55 : 954.76 = 471.12 : x
  2. Step 2: Convert to fraction form
    692.55/954.76 = 471.12/x
  3. Step 3: Cross multiply
    692.55x = 954.76 × 471.12
  4. Step 4: Simplify right side
    692.55x = 449,803.98
  5. Step 5: Solve for x
    x = 449,803.98/692.55
  6. Step 6: Final answer
    x = 649.49

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