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Finding the Fourth Proportional to 855.60, 1,283.04 and 307.86

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Solution

The fourth proportional to 855.60, 1,283.04 and 307.86 is: 461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.60 : 1,283.04 = 307.86 : x
  2. Step 2: Convert to fraction form
    855.60/1,283.04 = 307.86/x
  3. Step 3: Cross multiply
    855.60x = 1,283.04 × 307.86
  4. Step 4: Simplify right side
    855.60x = 394,996.69
  5. Step 5: Solve for x
    x = 394,996.69/855.60
  6. Step 6: Final answer
    x = 461.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.