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Finding the Fourth Proportional to 849.69, 1,274.67 and 362.70

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Solution

The fourth proportional to 849.69, 1,274.67 and 362.70 is: 544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.69 : 1,274.67 = 362.70 : x
  2. Step 2: Convert to fraction form
    849.69/1,274.67 = 362.70/x
  3. Step 3: Cross multiply
    849.69x = 1,274.67 × 362.70
  4. Step 4: Simplify right side
    849.69x = 462,322.81
  5. Step 5: Solve for x
    x = 462,322.81/849.69
  6. Step 6: Final answer
    x = 544.11

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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.