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Finding the Fourth Proportional to 859.46, 1,186.06 and 466.48

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Solution

The fourth proportional to 859.46, 1,186.06 and 466.48 is: 643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.46 : 1,186.06 = 466.48 : x
  2. Step 2: Convert to fraction form
    859.46/1,186.06 = 466.48/x
  3. Step 3: Cross multiply
    859.46x = 1,186.06 × 466.48
  4. Step 4: Simplify right side
    859.46x = 553,273.27
  5. Step 5: Solve for x
    x = 553,273.27/859.46
  6. Step 6: Final answer
    x = 643.75

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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.