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Finding the Fourth Proportional to 710.96, 1,066.44 and 422

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Solution

The fourth proportional to 710.96, 1,066.44 and 422 is: 633

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.96 : 1,066.44 = 422 : x
  2. Step 2: Convert to fraction form
    710.96/1,066.44 = 422/x
  3. Step 3: Cross multiply
    710.96x = 1,066.44 × 422
  4. Step 4: Simplify right side
    710.96x = 450,037.68
  5. Step 5: Solve for x
    x = 450,037.68/710.96
  6. Step 6: Final answer
    x = 633

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.