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Finding the Fourth Proportional to 859.99, 1,187.75 and 579.73

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Solution

The fourth proportional to 859.99, 1,187.75 and 579.73 is: 800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.99 : 1,187.75 = 579.73 : x
  2. Step 2: Convert to fraction form
    859.99/1,187.75 = 579.73/x
  3. Step 3: Cross multiply
    859.99x = 1,187.75 × 579.73
  4. Step 4: Simplify right side
    859.99x = 688,574.31
  5. Step 5: Solve for x
    x = 688,574.31/859.99
  6. Step 6: Final answer
    x = 800.68

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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.