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Finding the Fourth Proportional to 1,343.74, 2,014.98 and 499.16

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Solution

The fourth proportional to 1,343.74, 2,014.98 and 499.16 is: 748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.74 : 2,014.98 = 499.16 : x
  2. Step 2: Convert to fraction form
    1,343.74/2,014.98 = 499.16/x
  3. Step 3: Cross multiply
    1,343.74x = 2,014.98 × 499.16
  4. Step 4: Simplify right side
    1,343.74x = 1,005,797.42
  5. Step 5: Solve for x
    x = 1,005,797.42/1,343.74
  6. Step 6: Final answer
    x = 748.51

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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.