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Finding the Fourth Proportional to 775.71, 1,070.46 and 426.38

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Solution

The fourth proportional to 775.71, 1,070.46 and 426.38 is: 588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.71 : 1,070.46 = 426.38 : x
  2. Step 2: Convert to fraction form
    775.71/1,070.46 = 426.38/x
  3. Step 3: Cross multiply
    775.71x = 1,070.46 × 426.38
  4. Step 4: Simplify right side
    775.71x = 456,417.38
  5. Step 5: Solve for x
    x = 456,417.38/775.71
  6. Step 6: Final answer
    x = 588.39

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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.