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Finding the Fourth Proportional to 776.14, 1,071.04 and 444.56

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Solution

The fourth proportional to 776.14, 1,071.04 and 444.56 is: 613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.14 : 1,071.04 = 444.56 : x
  2. Step 2: Convert to fraction form
    776.14/1,071.04 = 444.56/x
  3. Step 3: Cross multiply
    776.14x = 1,071.04 × 444.56
  4. Step 4: Simplify right side
    776.14x = 476,141.54
  5. Step 5: Solve for x
    x = 476,141.54/776.14
  6. Step 6: Final answer
    x = 613.47

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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.