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Finding the Fourth Proportional to 859.10, 1,185.54 and 466.12

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Solution

The fourth proportional to 859.10, 1,185.54 and 466.12 is: 643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.10 : 1,185.54 = 466.12 : x
  2. Step 2: Convert to fraction form
    859.10/1,185.54 = 466.12/x
  3. Step 3: Cross multiply
    859.10x = 1,185.54 × 466.12
  4. Step 4: Simplify right side
    859.10x = 552,606.14
  5. Step 5: Solve for x
    x = 552,606.14/859.10
  6. Step 6: Final answer
    x = 643.24

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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.