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Finding the Fourth Proportional to 911.42, 1,257.83 and 579.72

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Solution

The fourth proportional to 911.42, 1,257.83 and 579.72 is: 800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.42 : 1,257.83 = 579.72 : x
  2. Step 2: Convert to fraction form
    911.42/1,257.83 = 579.72/x
  3. Step 3: Cross multiply
    911.42x = 1,257.83 × 579.72
  4. Step 4: Simplify right side
    911.42x = 729,189.21
  5. Step 5: Solve for x
    x = 729,189.21/911.42
  6. Step 6: Final answer
    x = 800.06

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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.