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Finding the Fourth Proportional to 710.77, 1,066.20 and 223.85

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Solution

The fourth proportional to 710.77, 1,066.20 and 223.85 is: 335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.77 : 1,066.20 = 223.85 : x
  2. Step 2: Convert to fraction form
    710.77/1,066.20 = 223.85/x
  3. Step 3: Cross multiply
    710.77x = 1,066.20 × 223.85
  4. Step 4: Simplify right side
    710.77x = 238,667.75
  5. Step 5: Solve for x
    x = 238,667.75/710.77
  6. Step 6: Final answer
    x = 335.79

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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.