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Finding the Fourth Proportional to 894.44, 1,340.46 and 586.16

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Solution

The fourth proportional to 894.44, 1,340.46 and 586.16 is: 878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.44 : 1,340.46 = 586.16 : x
  2. Step 2: Convert to fraction form
    894.44/1,340.46 = 586.16/x
  3. Step 3: Cross multiply
    894.44x = 1,340.46 × 586.16
  4. Step 4: Simplify right side
    894.44x = 785,724.03
  5. Step 5: Solve for x
    x = 785,724.03/894.44
  6. Step 6: Final answer
    x = 878.45

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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.