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Finding the Fourth Proportional to 855.70, 1,180.85 and 462.72

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Solution

The fourth proportional to 855.70, 1,180.85 and 462.72 is: 638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.70 : 1,180.85 = 462.72 : x
  2. Step 2: Convert to fraction form
    855.70/1,180.85 = 462.72/x
  3. Step 3: Cross multiply
    855.70x = 1,180.85 × 462.72
  4. Step 4: Simplify right side
    855.70x = 546,404.07
  5. Step 5: Solve for x
    x = 546,404.07/855.70
  6. Step 6: Final answer
    x = 638.55

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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.