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Finding the Fourth Proportional to 855.30, 1,283.76 and 465.48

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Solution

The fourth proportional to 855.30, 1,283.76 and 465.48 is: 698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.30 : 1,283.76 = 465.48 : x
  2. Step 2: Convert to fraction form
    855.30/1,283.76 = 465.48/x
  3. Step 3: Cross multiply
    855.30x = 1,283.76 × 465.48
  4. Step 4: Simplify right side
    855.30x = 597,564.60
  5. Step 5: Solve for x
    x = 597,564.60/855.30
  6. Step 6: Final answer
    x = 698.66

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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.