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Finding the Fourth Proportional to 843.66, 1,164.51 and 816.30

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Solution

The fourth proportional to 843.66, 1,164.51 and 816.30 is: 1,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.66 : 1,164.51 = 816.30 : x
  2. Step 2: Convert to fraction form
    843.66/1,164.51 = 816.30/x
  3. Step 3: Cross multiply
    843.66x = 1,164.51 × 816.30
  4. Step 4: Simplify right side
    843.66x = 950,589.51
  5. Step 5: Solve for x
    x = 950,589.51/843.66
  6. Step 6: Final answer
    x = 1,126.74

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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.