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Finding the Fourth Proportional to 1,375.82, 2,064.03 and 554.12

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Solution

The fourth proportional to 1,375.82, 2,064.03 and 554.12 is: 831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.82 : 2,064.03 = 554.12 : x
  2. Step 2: Convert to fraction form
    1,375.82/2,064.03 = 554.12/x
  3. Step 3: Cross multiply
    1,375.82x = 2,064.03 × 554.12
  4. Step 4: Simplify right side
    1,375.82x = 1,143,720.30
  5. Step 5: Solve for x
    x = 1,143,720.30/1,375.82
  6. Step 6: Final answer
    x = 831.30

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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.