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Finding the Fourth Proportional to 849.97, 1,275.54 and 416.89

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Solution

The fourth proportional to 849.97, 1,275.54 and 416.89 is: 625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.97 : 1,275.54 = 416.89 : x
  2. Step 2: Convert to fraction form
    849.97/1,275.54 = 416.89/x
  3. Step 3: Cross multiply
    849.97x = 1,275.54 × 416.89
  4. Step 4: Simplify right side
    849.97x = 531,751.41
  5. Step 5: Solve for x
    x = 531,751.41/849.97
  6. Step 6: Final answer
    x = 625.62

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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.