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Finding the Fourth Proportional to 852.57, 1,279.22 and 506.57

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Solution

The fourth proportional to 852.57, 1,279.22 and 506.57 is: 760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.57 : 1,279.22 = 506.57 : x
  2. Step 2: Convert to fraction form
    852.57/1,279.22 = 506.57/x
  3. Step 3: Cross multiply
    852.57x = 1,279.22 × 506.57
  4. Step 4: Simplify right side
    852.57x = 648,005.55
  5. Step 5: Solve for x
    x = 648,005.55/852.57
  6. Step 6: Final answer
    x = 760.06

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1.5x scale

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.