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Finding the Fourth Proportional to 859.91, 1,186.69 and 466.93

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Solution

The fourth proportional to 859.91, 1,186.69 and 466.93 is: 644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.91 : 1,186.69 = 466.93 : x
  2. Step 2: Convert to fraction form
    859.91/1,186.69 = 466.93/x
  3. Step 3: Cross multiply
    859.91x = 1,186.69 × 466.93
  4. Step 4: Simplify right side
    859.91x = 554,098.83
  5. Step 5: Solve for x
    x = 554,098.83/859.91
  6. Step 6: Final answer
    x = 644.37

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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.