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Finding the Fourth Proportional to 1,342.46, 2,014.30 and 563.04

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Solution

The fourth proportional to 1,342.46, 2,014.30 and 563.04 is: 844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.46 : 2,014.30 = 563.04 : x
  2. Step 2: Convert to fraction form
    1,342.46/2,014.30 = 563.04/x
  3. Step 3: Cross multiply
    1,342.46x = 2,014.30 × 563.04
  4. Step 4: Simplify right side
    1,342.46x = 1,134,132.18
  5. Step 5: Solve for x
    x = 1,134,132.18/1,342.46
  6. Step 6: Final answer
    x = 844.81

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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.