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Finding the Fourth Proportional to 757.06, 1,135.38 and 448.86

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Solution

The fourth proportional to 757.06, 1,135.38 and 448.86 is: 673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.06 : 1,135.38 = 448.86 : x
  2. Step 2: Convert to fraction form
    757.06/1,135.38 = 448.86/x
  3. Step 3: Cross multiply
    757.06x = 1,135.38 × 448.86
  4. Step 4: Simplify right side
    757.06x = 509,626.67
  5. Step 5: Solve for x
    x = 509,626.67/757.06
  6. Step 6: Final answer
    x = 673.17

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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.