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Finding the Fourth Proportional to 855.60, 1,283.40 and 764.40

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Solution

The fourth proportional to 855.60, 1,283.40 and 764.40 is: 1,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.60 : 1,283.40 = 764.40 : x
  2. Step 2: Convert to fraction form
    855.60/1,283.40 = 764.40/x
  3. Step 3: Cross multiply
    855.60x = 1,283.40 × 764.40
  4. Step 4: Simplify right side
    855.60x = 981,030.96
  5. Step 5: Solve for x
    x = 981,030.96/855.60
  6. Step 6: Final answer
    x = 1,146.60

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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.