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Finding the Fourth Proportional to 749.82, 1,123.64 and 402.88

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Solution

The fourth proportional to 749.82, 1,123.64 and 402.88 is: 603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.82 : 1,123.64 = 402.88 : x
  2. Step 2: Convert to fraction form
    749.82/1,123.64 = 402.88/x
  3. Step 3: Cross multiply
    749.82x = 1,123.64 × 402.88
  4. Step 4: Simplify right side
    749.82x = 452,692.08
  5. Step 5: Solve for x
    x = 452,692.08/749.82
  6. Step 6: Final answer
    x = 603.73

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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.