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Finding the Fourth Proportional to 855.77, 1,283.85 and 465.66

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Solution

The fourth proportional to 855.77, 1,283.85 and 465.66 is: 698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.77 : 1,283.85 = 465.66 : x
  2. Step 2: Convert to fraction form
    855.77/1,283.85 = 465.66/x
  3. Step 3: Cross multiply
    855.77x = 1,283.85 × 465.66
  4. Step 4: Simplify right side
    855.77x = 597,837.59
  5. Step 5: Solve for x
    x = 597,837.59/855.77
  6. Step 6: Final answer
    x = 698.60

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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.