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Finding the Fourth Proportional to 775.42, 1,070.09 and 443.87

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Solution

The fourth proportional to 775.42, 1,070.09 and 443.87 is: 612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.42 : 1,070.09 = 443.87 : x
  2. Step 2: Convert to fraction form
    775.42/1,070.09 = 443.87/x
  3. Step 3: Cross multiply
    775.42x = 1,070.09 × 443.87
  4. Step 4: Simplify right side
    775.42x = 474,987.47
  5. Step 5: Solve for x
    x = 474,987.47/775.42
  6. Step 6: Final answer
    x = 612.56

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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.