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Finding the Fourth Proportional to 1,283.22, 1,770.78 and 785.73

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Solution

The fourth proportional to 1,283.22, 1,770.78 and 785.73 is: 1,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.22 : 1,770.78 = 785.73 : x
  2. Step 2: Convert to fraction form
    1,283.22/1,770.78 = 785.73/x
  3. Step 3: Cross multiply
    1,283.22x = 1,770.78 × 785.73
  4. Step 4: Simplify right side
    1,283.22x = 1,391,354.97
  5. Step 5: Solve for x
    x = 1,391,354.97/1,283.22
  6. Step 6: Final answer
    x = 1,084.27

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1.5x scale

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.