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Finding the Fourth Proportional to 859.32, 1,185.86 and 466.34

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Solution

The fourth proportional to 859.32, 1,185.86 and 466.34 is: 643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.32 : 1,185.86 = 466.34 : x
  2. Step 2: Convert to fraction form
    859.32/1,185.86 = 466.34/x
  3. Step 3: Cross multiply
    859.32x = 1,185.86 × 466.34
  4. Step 4: Simplify right side
    859.32x = 553,020.01
  5. Step 5: Solve for x
    x = 553,020.01/859.32
  6. Step 6: Final answer
    x = 643.55

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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.