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Finding the Fourth Proportional to 1,554.44, 2,330.22 and 688.28

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Solution

The fourth proportional to 1,554.44, 2,330.22 and 688.28 is: 1,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.44 : 2,330.22 = 688.28 : x
  2. Step 2: Convert to fraction form
    1,554.44/2,330.22 = 688.28/x
  3. Step 3: Cross multiply
    1,554.44x = 2,330.22 × 688.28
  4. Step 4: Simplify right side
    1,554.44x = 1,603,843.82
  5. Step 5: Solve for x
    x = 1,603,843.82/1,554.44
  6. Step 6: Final answer
    x = 1,031.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.