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Finding the Fourth Proportional to 738.76, 1,020.09 and 477.22

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Solution

The fourth proportional to 738.76, 1,020.09 and 477.22 is: 658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.76 : 1,020.09 = 477.22 : x
  2. Step 2: Convert to fraction form
    738.76/1,020.09 = 477.22/x
  3. Step 3: Cross multiply
    738.76x = 1,020.09 × 477.22
  4. Step 4: Simplify right side
    738.76x = 486,807.35
  5. Step 5: Solve for x
    x = 486,807.35/738.76
  6. Step 6: Final answer
    x = 658.95

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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.