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Finding the Fourth Proportional to 775.68, 1,070.36 and 426.30

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Solution

The fourth proportional to 775.68, 1,070.36 and 426.30 is: 588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.68 : 1,070.36 = 426.30 : x
  2. Step 2: Convert to fraction form
    775.68/1,070.36 = 426.30/x
  3. Step 3: Cross multiply
    775.68x = 1,070.36 × 426.30
  4. Step 4: Simplify right side
    775.68x = 456,294.47
  5. Step 5: Solve for x
    x = 456,294.47/775.68
  6. Step 6: Final answer
    x = 588.25

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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.