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Finding the Fourth Proportional to 1,343.38, 2,015.32 and 465.90

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Solution

The fourth proportional to 1,343.38, 2,015.32 and 465.90 is: 698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.38 : 2,015.32 = 465.90 : x
  2. Step 2: Convert to fraction form
    1,343.38/2,015.32 = 465.90/x
  3. Step 3: Cross multiply
    1,343.38x = 2,015.32 × 465.90
  4. Step 4: Simplify right side
    1,343.38x = 938,937.59
  5. Step 5: Solve for x
    x = 938,937.59/1,343.38
  6. Step 6: Final answer
    x = 698.94

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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.