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Finding the Fourth Proportional to 749.44, 1,124.49 and 287.36

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Solution

The fourth proportional to 749.44, 1,124.49 and 287.36 is: 431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.44 : 1,124.49 = 287.36 : x
  2. Step 2: Convert to fraction form
    749.44/1,124.49 = 287.36/x
  3. Step 3: Cross multiply
    749.44x = 1,124.49 × 287.36
  4. Step 4: Simplify right side
    749.44x = 323,133.45
  5. Step 5: Solve for x
    x = 323,133.45/749.44
  6. Step 6: Final answer
    x = 431.17

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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.