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Finding the Fourth Proportional to 744, 1,027.08 and 482.19

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Solution

The fourth proportional to 744, 1,027.08 and 482.19 is: 665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    744 : 1,027.08 = 482.19 : x
  2. Step 2: Convert to fraction form
    744/1,027.08 = 482.19/x
  3. Step 3: Cross multiply
    744x = 1,027.08 × 482.19
  4. Step 4: Simplify right side
    744x = 495,247.71
  5. Step 5: Solve for x
    x = 495,247.71/744
  6. Step 6: Final answer
    x = 665.66

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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.