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Finding the Fourth Proportional to 849.95, 1,172.62 and 495.82

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Solution

The fourth proportional to 849.95, 1,172.62 and 495.82 is: 684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.95 : 1,172.62 = 495.82 : x
  2. Step 2: Convert to fraction form
    849.95/1,172.62 = 495.82/x
  3. Step 3: Cross multiply
    849.95x = 1,172.62 × 495.82
  4. Step 4: Simplify right side
    849.95x = 581,404.28
  5. Step 5: Solve for x
    x = 581,404.28/849.95
  6. Step 6: Final answer
    x = 684.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.