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Finding the Fourth Proportional to 843.70, 1,164.24 and 512.24

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Solution

The fourth proportional to 843.70, 1,164.24 and 512.24 is: 706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.70 : 1,164.24 = 512.24 : x
  2. Step 2: Convert to fraction form
    843.70/1,164.24 = 512.24/x
  3. Step 3: Cross multiply
    843.70x = 1,164.24 × 512.24
  4. Step 4: Simplify right side
    843.70x = 596,363.95
  5. Step 5: Solve for x
    x = 596,363.95/843.70
  6. Step 6: Final answer
    x = 706.84

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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.