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Finding the Fourth Proportional to 775.65, 1,070.47 and 426.41

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Solution

The fourth proportional to 775.65, 1,070.47 and 426.41 is: 588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.65 : 1,070.47 = 426.41 : x
  2. Step 2: Convert to fraction form
    775.65/1,070.47 = 426.41/x
  3. Step 3: Cross multiply
    775.65x = 1,070.47 × 426.41
  4. Step 4: Simplify right side
    775.65x = 456,451.63
  5. Step 5: Solve for x
    x = 456,451.63/775.65
  6. Step 6: Final answer
    x = 588.48

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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.