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Finding the Fourth Proportional to 1,376.80, 1,900.08 and 817.20

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Solution

The fourth proportional to 1,376.80, 1,900.08 and 817.20 is: 1,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.80 : 1,900.08 = 817.20 : x
  2. Step 2: Convert to fraction form
    1,376.80/1,900.08 = 817.20/x
  3. Step 3: Cross multiply
    1,376.80x = 1,900.08 × 817.20
  4. Step 4: Simplify right side
    1,376.80x = 1,552,745.38
  5. Step 5: Solve for x
    x = 1,552,745.38/1,376.80
  6. Step 6: Final answer
    x = 1,127.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.