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Finding the Fourth Proportional to 849.57, 1,274.78 and 362.98

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Solution

The fourth proportional to 849.57, 1,274.78 and 362.98 is: 544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.57 : 1,274.78 = 362.98 : x
  2. Step 2: Convert to fraction form
    849.57/1,274.78 = 362.98/x
  3. Step 3: Cross multiply
    849.57x = 1,274.78 × 362.98
  4. Step 4: Simplify right side
    849.57x = 462,719.64
  5. Step 5: Solve for x
    x = 462,719.64/849.57
  6. Step 6: Final answer
    x = 544.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.