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Finding the Fourth Proportional to 849.70, 1,174.53 and 781.66

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Solution

The fourth proportional to 849.70, 1,174.53 and 781.66 is: 1,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.70 : 1,174.53 = 781.66 : x
  2. Step 2: Convert to fraction form
    849.70/1,174.53 = 781.66/x
  3. Step 3: Cross multiply
    849.70x = 1,174.53 × 781.66
  4. Step 4: Simplify right side
    849.70x = 918,083.12
  5. Step 5: Solve for x
    x = 918,083.12/849.70
  6. Step 6: Final answer
    x = 1,080.48

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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.