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Finding the Fourth Proportional to 1,288.22, 1,775.16 and 1,127.88

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Solution

The fourth proportional to 1,288.22, 1,775.16 and 1,127.88 is: 1,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.22 : 1,775.16 = 1,127.88 : x
  2. Step 2: Convert to fraction form
    1,288.22/1,775.16 = 1,127.88/x
  3. Step 3: Cross multiply
    1,288.22x = 1,775.16 × 1,127.88
  4. Step 4: Simplify right side
    1,288.22x = 2,002,167.46
  5. Step 5: Solve for x
    x = 2,002,167.46/1,288.22
  6. Step 6: Final answer
    x = 1,554.22

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