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Finding the Fourth Proportional to 1,343.10, 2,014.01 and 563.46

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Solution

The fourth proportional to 1,343.10, 2,014.01 and 563.46 is: 844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.10 : 2,014.01 = 563.46 : x
  2. Step 2: Convert to fraction form
    1,343.10/2,014.01 = 563.46/x
  3. Step 3: Cross multiply
    1,343.10x = 2,014.01 × 563.46
  4. Step 4: Simplify right side
    1,343.10x = 1,134,811.26
  5. Step 5: Solve for x
    x = 1,134,811.26/1,343.10
  6. Step 6: Final answer
    x = 844.92

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Why These Related Problems?

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