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Finding the Fourth Proportional to 854.50, 1,179.78 and 654.97

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Solution

The fourth proportional to 854.50, 1,179.78 and 654.97 is: 904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.50 : 1,179.78 = 654.97 : x
  2. Step 2: Convert to fraction form
    854.50/1,179.78 = 654.97/x
  3. Step 3: Cross multiply
    854.50x = 1,179.78 × 654.97
  4. Step 4: Simplify right side
    854.50x = 772,720.51
  5. Step 5: Solve for x
    x = 772,720.51/854.50
  6. Step 6: Final answer
    x = 904.30

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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.