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Finding the Fourth Proportional to 744.69, 1,028.12 and 483.20

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Solution

The fourth proportional to 744.69, 1,028.12 and 483.20 is: 667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.69 : 1,028.12 = 483.20 : x
  2. Step 2: Convert to fraction form
    744.69/1,028.12 = 483.20/x
  3. Step 3: Cross multiply
    744.69x = 1,028.12 × 483.20
  4. Step 4: Simplify right side
    744.69x = 496,780.03
  5. Step 5: Solve for x
    x = 496,780.03/744.69
  6. Step 6: Final answer
    x = 667.10

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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.