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Finding the Fourth Proportional to 859.97, 1,186.71 and 487.00

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Solution

The fourth proportional to 859.97, 1,186.71 and 487.00 is: 672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.97 : 1,186.71 = 487.00 : x
  2. Step 2: Convert to fraction form
    859.97/1,186.71 = 487.00/x
  3. Step 3: Cross multiply
    859.97x = 1,186.71 × 487.00
  4. Step 4: Simplify right side
    859.97x = 577,929.18
  5. Step 5: Solve for x
    x = 577,929.18/859.97
  6. Step 6: Final answer
    x = 672.04

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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.