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Finding the Fourth Proportional to 849.07, 1,171.68 and 476.05

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Solution

The fourth proportional to 849.07, 1,171.68 and 476.05 is: 656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.07 : 1,171.68 = 476.05 : x
  2. Step 2: Convert to fraction form
    849.07/1,171.68 = 476.05/x
  3. Step 3: Cross multiply
    849.07x = 1,171.68 × 476.05
  4. Step 4: Simplify right side
    849.07x = 557,778.26
  5. Step 5: Solve for x
    x = 557,778.26/849.07
  6. Step 6: Final answer
    x = 656.93

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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.