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Finding the Fourth Proportional to 859.84, 1,186.56 and 466.85

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Solution

The fourth proportional to 859.84, 1,186.56 and 466.85 is: 644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.84 : 1,186.56 = 466.85 : x
  2. Step 2: Convert to fraction form
    859.84/1,186.56 = 466.85/x
  3. Step 3: Cross multiply
    859.84x = 1,186.56 × 466.85
  4. Step 4: Simplify right side
    859.84x = 553,945.54
  5. Step 5: Solve for x
    x = 553,945.54/859.84
  6. Step 6: Final answer
    x = 644.24

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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.