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Finding the Fourth Proportional to 775.97, 1,070.57 and 444.16

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Solution

The fourth proportional to 775.97, 1,070.57 and 444.16 is: 612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.97 : 1,070.57 = 444.16 : x
  2. Step 2: Convert to fraction form
    775.97/1,070.57 = 444.16/x
  3. Step 3: Cross multiply
    775.97x = 1,070.57 × 444.16
  4. Step 4: Simplify right side
    775.97x = 475,504.37
  5. Step 5: Solve for x
    x = 475,504.37/775.97
  6. Step 6: Final answer
    x = 612.79

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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.