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Finding the Fourth Proportional to 1,066.50, 1,470.49 and 889.72

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Solution

The fourth proportional to 1,066.50, 1,470.49 and 889.72 is: 1,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.50 : 1,470.49 = 889.72 : x
  2. Step 2: Convert to fraction form
    1,066.50/1,470.49 = 889.72/x
  3. Step 3: Cross multiply
    1,066.50x = 1,470.49 × 889.72
  4. Step 4: Simplify right side
    1,066.50x = 1,308,324.36
  5. Step 5: Solve for x
    x = 1,308,324.36/1,066.50
  6. Step 6: Final answer
    x = 1,226.75

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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.