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Finding the Fourth Proportional to 1,343.38, 2,015.16 and 521.60

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Solution

The fourth proportional to 1,343.38, 2,015.16 and 521.60 is: 782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.38 : 2,015.16 = 521.60 : x
  2. Step 2: Convert to fraction form
    1,343.38/2,015.16 = 521.60/x
  3. Step 3: Cross multiply
    1,343.38x = 2,015.16 × 521.60
  4. Step 4: Simplify right side
    1,343.38x = 1,051,107.46
  5. Step 5: Solve for x
    x = 1,051,107.46/1,343.38
  6. Step 6: Final answer
    x = 782.43

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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.