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Finding the Fourth Proportional to 849.77, 1,274.05 and 417.23

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Solution

The fourth proportional to 849.77, 1,274.05 and 417.23 is: 625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.77 : 1,274.05 = 417.23 : x
  2. Step 2: Convert to fraction form
    849.77/1,274.05 = 417.23/x
  3. Step 3: Cross multiply
    849.77x = 1,274.05 × 417.23
  4. Step 4: Simplify right side
    849.77x = 531,574.02
  5. Step 5: Solve for x
    x = 531,574.02/849.77
  6. Step 6: Final answer
    x = 625.55

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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.