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Finding the Fourth Proportional to 859.12, 1,185.57 and 466.13

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Solution

The fourth proportional to 859.12, 1,185.57 and 466.13 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.12 : 1,185.57 = 466.13 : x
  2. Step 2: Convert to fraction form
    859.12/1,185.57 = 466.13/x
  3. Step 3: Cross multiply
    859.12x = 1,185.57 × 466.13
  4. Step 4: Simplify right side
    859.12x = 552,629.74
  5. Step 5: Solve for x
    x = 552,629.74/859.12
  6. Step 6: Final answer
    x = 643.25

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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.