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Finding the Fourth Proportional to 776.78, 1,071.92 and 445.19

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Solution

The fourth proportional to 776.78, 1,071.92 and 445.19 is: 614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.78 : 1,071.92 = 445.19 : x
  2. Step 2: Convert to fraction form
    776.78/1,071.92 = 445.19/x
  3. Step 3: Cross multiply
    776.78x = 1,071.92 × 445.19
  4. Step 4: Simplify right side
    776.78x = 477,203.82
  5. Step 5: Solve for x
    x = 477,203.82/776.78
  6. Step 6: Final answer
    x = 614.34

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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.