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Finding the Fourth Proportional to 775.95, 1,070.76 and 426.66

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Solution

The fourth proportional to 775.95, 1,070.76 and 426.66 is: 588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.95 : 1,070.76 = 426.66 : x
  2. Step 2: Convert to fraction form
    775.95/1,070.76 = 426.66/x
  3. Step 3: Cross multiply
    775.95x = 1,070.76 × 426.66
  4. Step 4: Simplify right side
    775.95x = 456,850.46
  5. Step 5: Solve for x
    x = 456,850.46/775.95
  6. Step 6: Final answer
    x = 588.76

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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.