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Finding the Fourth Proportional to 1,575.40, 2,363.56 and 844.42

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Solution

The fourth proportional to 1,575.40, 2,363.56 and 844.42 is: 1,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.40 : 2,363.56 = 844.42 : x
  2. Step 2: Convert to fraction form
    1,575.40/2,363.56 = 844.42/x
  3. Step 3: Cross multiply
    1,575.40x = 2,363.56 × 844.42
  4. Step 4: Simplify right side
    1,575.40x = 1,995,837.34
  5. Step 5: Solve for x
    x = 1,995,837.34/1,575.40
  6. Step 6: Final answer
    x = 1,266.88

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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.