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Finding the Fourth Proportional to 786.56, 1,086.17 and 589.73

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Solution

The fourth proportional to 786.56, 1,086.17 and 589.73 is: 814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.56 : 1,086.17 = 589.73 : x
  2. Step 2: Convert to fraction form
    786.56/1,086.17 = 589.73/x
  3. Step 3: Cross multiply
    786.56x = 1,086.17 × 589.73
  4. Step 4: Simplify right side
    786.56x = 640,547.03
  5. Step 5: Solve for x
    x = 640,547.03/786.56
  6. Step 6: Final answer
    x = 814.37

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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.