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Finding the Fourth Proportional to 894.48, 1,342.86 and 689.19

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Solution

The fourth proportional to 894.48, 1,342.86 and 689.19 is: 1,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.48 : 1,342.86 = 689.19 : x
  2. Step 2: Convert to fraction form
    894.48/1,342.86 = 689.19/x
  3. Step 3: Cross multiply
    894.48x = 1,342.86 × 689.19
  4. Step 4: Simplify right side
    894.48x = 925,485.68
  5. Step 5: Solve for x
    x = 925,485.68/894.48
  6. Step 6: Final answer
    x = 1,034.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.