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Finding the Fourth Proportional to 1,244.37, 1,867.47 and 595.56

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Solution

The fourth proportional to 1,244.37, 1,867.47 and 595.56 is: 893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.37 : 1,867.47 = 595.56 : x
  2. Step 2: Convert to fraction form
    1,244.37/1,867.47 = 595.56/x
  3. Step 3: Cross multiply
    1,244.37x = 1,867.47 × 595.56
  4. Step 4: Simplify right side
    1,244.37x = 1,112,190.43
  5. Step 5: Solve for x
    x = 1,112,190.43/1,244.37
  6. Step 6: Final answer
    x = 893.78

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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.