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Finding the Fourth Proportional to 1,343.19, 2,014.74 and 418.74

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Solution

The fourth proportional to 1,343.19, 2,014.74 and 418.74 is: 628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.19 : 2,014.74 = 418.74 : x
  2. Step 2: Convert to fraction form
    1,343.19/2,014.74 = 418.74/x
  3. Step 3: Cross multiply
    1,343.19x = 2,014.74 × 418.74
  4. Step 4: Simplify right side
    1,343.19x = 843,652.23
  5. Step 5: Solve for x
    x = 843,652.23/1,343.19
  6. Step 6: Final answer
    x = 628.10

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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.