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Finding the Fourth Proportional to 1,368.38, 2,052.72 and 443.90

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Solution

The fourth proportional to 1,368.38, 2,052.72 and 443.90 is: 665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.38 : 2,052.72 = 443.90 : x
  2. Step 2: Convert to fraction form
    1,368.38/2,052.72 = 443.90/x
  3. Step 3: Cross multiply
    1,368.38x = 2,052.72 × 443.90
  4. Step 4: Simplify right side
    1,368.38x = 911,192.14
  5. Step 5: Solve for x
    x = 911,192.14/1,368.38
  6. Step 6: Final answer
    x = 665.89

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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.