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Finding the Fourth Proportional to 1,244.76, 1,867.13 and 593.52

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Solution

The fourth proportional to 1,244.76, 1,867.13 and 593.52 is: 890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.76 : 1,867.13 = 593.52 : x
  2. Step 2: Convert to fraction form
    1,244.76/1,867.13 = 593.52/x
  3. Step 3: Cross multiply
    1,244.76x = 1,867.13 × 593.52
  4. Step 4: Simplify right side
    1,244.76x = 1,108,171.25
  5. Step 5: Solve for x
    x = 1,108,171.25/1,244.76
  6. Step 6: Final answer
    x = 890.27

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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.