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Finding the Fourth Proportional to 849, 1,270.62 and 801.66

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Solution

The fourth proportional to 849, 1,270.62 and 801.66 is: 1,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    849 : 1,270.62 = 801.66 : x
  2. Step 2: Convert to fraction form
    849/1,270.62 = 801.66/x
  3. Step 3: Cross multiply
    849x = 1,270.62 × 801.66
  4. Step 4: Simplify right side
    849x = 1,018,605.23
  5. Step 5: Solve for x
    x = 1,018,605.23/849
  6. Step 6: Final answer
    x = 1,199.77

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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.