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Finding the Fourth Proportional to 776.17, 1,071.12 and 477.73

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Solution

The fourth proportional to 776.17, 1,071.12 and 477.73 is: 659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.17 : 1,071.12 = 477.73 : x
  2. Step 2: Convert to fraction form
    776.17/1,071.12 = 477.73/x
  3. Step 3: Cross multiply
    776.17x = 1,071.12 × 477.73
  4. Step 4: Simplify right side
    776.17x = 511,706.16
  5. Step 5: Solve for x
    x = 511,706.16/776.17
  6. Step 6: Final answer
    x = 659.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.