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Finding the Fourth Proportional to 859.50, 1,186.13 and 466.52

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Solution

The fourth proportional to 859.50, 1,186.13 and 466.52 is: 643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.50 : 1,186.13 = 466.52 : x
  2. Step 2: Convert to fraction form
    859.50/1,186.13 = 466.52/x
  3. Step 3: Cross multiply
    859.50x = 1,186.13 × 466.52
  4. Step 4: Simplify right side
    859.50x = 553,357.50
  5. Step 5: Solve for x
    x = 553,357.50/859.50
  6. Step 6: Final answer
    x = 643.81

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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.