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Finding the Fourth Proportional to 775.56, 1,070.28 and 426.27

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Solution

The fourth proportional to 775.56, 1,070.28 and 426.27 is: 588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.56 : 1,070.28 = 426.27 : x
  2. Step 2: Convert to fraction form
    775.56/1,070.28 = 426.27/x
  3. Step 3: Cross multiply
    775.56x = 1,070.28 × 426.27
  4. Step 4: Simplify right side
    775.56x = 456,228.26
  5. Step 5: Solve for x
    x = 456,228.26/775.56
  6. Step 6: Final answer
    x = 588.26

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1.5x scale

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.