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Finding the Fourth Proportional to 776.71, 1,072.11 and 466.21

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Solution

The fourth proportional to 776.71, 1,072.11 and 466.21 is: 643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.71 : 1,072.11 = 466.21 : x
  2. Step 2: Convert to fraction form
    776.71/1,072.11 = 466.21/x
  3. Step 3: Cross multiply
    776.71x = 1,072.11 × 466.21
  4. Step 4: Simplify right side
    776.71x = 499,828.40
  5. Step 5: Solve for x
    x = 499,828.40/776.71
  6. Step 6: Final answer
    x = 643.52

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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.