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Finding the Fourth Proportional to 776.73, 1,071.61 and 462.04

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Solution

The fourth proportional to 776.73, 1,071.61 and 462.04 is: 637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.73 : 1,071.61 = 462.04 : x
  2. Step 2: Convert to fraction form
    776.73/1,071.61 = 462.04/x
  3. Step 3: Cross multiply
    776.73x = 1,071.61 × 462.04
  4. Step 4: Simplify right side
    776.73x = 495,126.68
  5. Step 5: Solve for x
    x = 495,126.68/776.73
  6. Step 6: Final answer
    x = 637.45

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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.