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Finding the Fourth Proportional to 744.84, 1,116.12 and 398.22

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Solution

The fourth proportional to 744.84, 1,116.12 and 398.22 is: 596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.84 : 1,116.12 = 398.22 : x
  2. Step 2: Convert to fraction form
    744.84/1,116.12 = 398.22/x
  3. Step 3: Cross multiply
    744.84x = 1,116.12 × 398.22
  4. Step 4: Simplify right side
    744.84x = 444,459.32
  5. Step 5: Solve for x
    x = 444,459.32/744.84
  6. Step 6: Final answer
    x = 596.72

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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.