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Finding the Fourth Proportional to 843.81, 1,164.54 and 512.25

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Solution

The fourth proportional to 843.81, 1,164.54 and 512.25 is: 706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.81 : 1,164.54 = 512.25 : x
  2. Step 2: Convert to fraction form
    843.81/1,164.54 = 512.25/x
  3. Step 3: Cross multiply
    843.81x = 1,164.54 × 512.25
  4. Step 4: Simplify right side
    843.81x = 596,535.62
  5. Step 5: Solve for x
    x = 596,535.62/843.81
  6. Step 6: Final answer
    x = 706.95

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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.