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Finding the Fourth Proportional to 1,284.80, 1,771.52 and 886.66

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Solution

The fourth proportional to 1,284.80, 1,771.52 and 886.66 is: 1,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.80 : 1,771.52 = 886.66 : x
  2. Step 2: Convert to fraction form
    1,284.80/1,771.52 = 886.66/x
  3. Step 3: Cross multiply
    1,284.80x = 1,771.52 × 886.66
  4. Step 4: Simplify right side
    1,284.80x = 1,570,742.01
  5. Step 5: Solve for x
    x = 1,570,742.01/1,284.80
  6. Step 6: Final answer
    x = 1,222.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.