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Finding the Fourth Proportional to 775.66, 1,070.41 and 426.35

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Solution

The fourth proportional to 775.66, 1,070.41 and 426.35 is: 588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.66 : 1,070.41 = 426.35 : x
  2. Step 2: Convert to fraction form
    775.66/1,070.41 = 426.35/x
  3. Step 3: Cross multiply
    775.66x = 1,070.41 × 426.35
  4. Step 4: Simplify right side
    775.66x = 456,361.82
  5. Step 5: Solve for x
    x = 456,361.82/775.66
  6. Step 6: Final answer
    x = 588.35

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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.