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Finding the Fourth Proportional to 855.64, 1,180.78 and 462.66

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Solution

The fourth proportional to 855.64, 1,180.78 and 462.66 is: 638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.64 : 1,180.78 = 462.66 : x
  2. Step 2: Convert to fraction form
    855.64/1,180.78 = 462.66/x
  3. Step 3: Cross multiply
    855.64x = 1,180.78 × 462.66
  4. Step 4: Simplify right side
    855.64x = 546,297.36
  5. Step 5: Solve for x
    x = 546,297.36/855.64
  6. Step 6: Final answer
    x = 638.47

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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.