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Finding the Fourth Proportional to 859.92, 1,186.62 and 510.54

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Solution

The fourth proportional to 859.92, 1,186.62 and 510.54 is: 704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.92 : 1,186.62 = 510.54 : x
  2. Step 2: Convert to fraction form
    859.92/1,186.62 = 510.54/x
  3. Step 3: Cross multiply
    859.92x = 1,186.62 × 510.54
  4. Step 4: Simplify right side
    859.92x = 605,816.97
  5. Step 5: Solve for x
    x = 605,816.97/859.92
  6. Step 6: Final answer
    x = 704.50

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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.