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Finding the Fourth Proportional to 1,056.23, 1,585.46 and 863.45

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Solution

The fourth proportional to 1,056.23, 1,585.46 and 863.45 is: 1,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.23 : 1,585.46 = 863.45 : x
  2. Step 2: Convert to fraction form
    1,056.23/1,585.46 = 863.45/x
  3. Step 3: Cross multiply
    1,056.23x = 1,585.46 × 863.45
  4. Step 4: Simplify right side
    1,056.23x = 1,368,965.44
  5. Step 5: Solve for x
    x = 1,368,965.44/1,056.23
  6. Step 6: Final answer
    x = 1,296.09

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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.