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Finding the Fourth Proportional to 849.29, 1,172.07 and 476.25

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Solution

The fourth proportional to 849.29, 1,172.07 and 476.25 is: 657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.29 : 1,172.07 = 476.25 : x
  2. Step 2: Convert to fraction form
    849.29/1,172.07 = 476.25/x
  3. Step 3: Cross multiply
    849.29x = 1,172.07 × 476.25
  4. Step 4: Simplify right side
    849.29x = 558,195.96
  5. Step 5: Solve for x
    x = 558,195.96/849.29
  6. Step 6: Final answer
    x = 657.25

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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.