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Finding the Fourth Proportional to 738.95, 1,020.11 and 477.11

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Solution

The fourth proportional to 738.95, 1,020.11 and 477.11 is: 658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.95 : 1,020.11 = 477.11 : x
  2. Step 2: Convert to fraction form
    738.95/1,020.11 = 477.11/x
  3. Step 3: Cross multiply
    738.95x = 1,020.11 × 477.11
  4. Step 4: Simplify right side
    738.95x = 486,704.85
  5. Step 5: Solve for x
    x = 486,704.85/738.95
  6. Step 6: Final answer
    x = 658.65

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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.