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Finding the Fourth Proportional to 859.69, 1,186.55 and 510.31

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Solution

The fourth proportional to 859.69, 1,186.55 and 510.31 is: 704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.69 : 1,186.55 = 510.31 : x
  2. Step 2: Convert to fraction form
    859.69/1,186.55 = 510.31/x
  3. Step 3: Cross multiply
    859.69x = 1,186.55 × 510.31
  4. Step 4: Simplify right side
    859.69x = 605,508.33
  5. Step 5: Solve for x
    x = 605,508.33/859.69
  6. Step 6: Final answer
    x = 704.33

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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.