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Finding the Fourth Proportional to 843.77, 1,164.41 and 470.77

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Solution

The fourth proportional to 843.77, 1,164.41 and 470.77 is: 649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.77 : 1,164.41 = 470.77 : x
  2. Step 2: Convert to fraction form
    843.77/1,164.41 = 470.77/x
  3. Step 3: Cross multiply
    843.77x = 1,164.41 × 470.77
  4. Step 4: Simplify right side
    843.77x = 548,165.80
  5. Step 5: Solve for x
    x = 548,165.80/843.77
  6. Step 6: Final answer
    x = 649.66

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Half scale
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Double scale
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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.