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Finding the Fourth Proportional to 859.93, 1,186.70 and 466.97

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Solution

The fourth proportional to 859.93, 1,186.70 and 466.97 is: 644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.93 : 1,186.70 = 466.97 : x
  2. Step 2: Convert to fraction form
    859.93/1,186.70 = 466.97/x
  3. Step 3: Cross multiply
    859.93x = 1,186.70 × 466.97
  4. Step 4: Simplify right side
    859.93x = 554,145.03
  5. Step 5: Solve for x
    x = 554,145.03/859.93
  6. Step 6: Final answer
    x = 644.41

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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.