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Finding the Fourth Proportional to 859.39, 1,185.73 and 580.13

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Solution

The fourth proportional to 859.39, 1,185.73 and 580.13 is: 800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.39 : 1,185.73 = 580.13 : x
  2. Step 2: Convert to fraction form
    859.39/1,185.73 = 580.13/x
  3. Step 3: Cross multiply
    859.39x = 1,185.73 × 580.13
  4. Step 4: Simplify right side
    859.39x = 687,877.54
  5. Step 5: Solve for x
    x = 687,877.54/859.39
  6. Step 6: Final answer
    x = 800.43

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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.