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Finding the Fourth Proportional to 1,303.89, 1,799.23 and 744.31

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Solution

The fourth proportional to 1,303.89, 1,799.23 and 744.31 is: 1,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.89 : 1,799.23 = 744.31 : x
  2. Step 2: Convert to fraction form
    1,303.89/1,799.23 = 744.31/x
  3. Step 3: Cross multiply
    1,303.89x = 1,799.23 × 744.31
  4. Step 4: Simplify right side
    1,303.89x = 1,339,184.88
  5. Step 5: Solve for x
    x = 1,339,184.88/1,303.89
  6. Step 6: Final answer
    x = 1,027.07

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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.