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Finding the Fourth Proportional to 849.23, 1,171.98 and 476.21

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Solution

The fourth proportional to 849.23, 1,171.98 and 476.21 is: 657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.23 : 1,171.98 = 476.21 : x
  2. Step 2: Convert to fraction form
    849.23/1,171.98 = 476.21/x
  3. Step 3: Cross multiply
    849.23x = 1,171.98 × 476.21
  4. Step 4: Simplify right side
    849.23x = 558,108.60
  5. Step 5: Solve for x
    x = 558,108.60/849.23
  6. Step 6: Final answer
    x = 657.19

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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.