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Finding the Fourth Proportional to 1,444.08, 2,165.34 and 749.03

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Solution

The fourth proportional to 1,444.08, 2,165.34 and 749.03 is: 1,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.08 : 2,165.34 = 749.03 : x
  2. Step 2: Convert to fraction form
    1,444.08/2,165.34 = 749.03/x
  3. Step 3: Cross multiply
    1,444.08x = 2,165.34 × 749.03
  4. Step 4: Simplify right side
    1,444.08x = 1,621,893.79
  5. Step 5: Solve for x
    x = 1,621,893.79/1,444.08
  6. Step 6: Final answer
    x = 1,123.13

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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.