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Finding the Fourth Proportional to 849.15, 1,274.62 and 752.25

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Solution

The fourth proportional to 849.15, 1,274.62 and 752.25 is: 1,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.15 : 1,274.62 = 752.25 : x
  2. Step 2: Convert to fraction form
    849.15/1,274.62 = 752.25/x
  3. Step 3: Cross multiply
    849.15x = 1,274.62 × 752.25
  4. Step 4: Simplify right side
    849.15x = 958,832.90
  5. Step 5: Solve for x
    x = 958,832.90/849.15
  6. Step 6: Final answer
    x = 1,129.17

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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.