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Finding the Fourth Proportional to 1,343.57, 2,015.08 and 466.02

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Solution

The fourth proportional to 1,343.57, 2,015.08 and 466.02 is: 698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.57 : 2,015.08 = 466.02 : x
  2. Step 2: Convert to fraction form
    1,343.57/2,015.08 = 466.02/x
  3. Step 3: Cross multiply
    1,343.57x = 2,015.08 × 466.02
  4. Step 4: Simplify right side
    1,343.57x = 939,066.42
  5. Step 5: Solve for x
    x = 939,066.42/1,343.57
  6. Step 6: Final answer
    x = 698.94

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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.