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Finding the Fourth Proportional to 849.42, 1,172.16 and 476.33

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Solution

The fourth proportional to 849.42, 1,172.16 and 476.33 is: 657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.42 : 1,172.16 = 476.33 : x
  2. Step 2: Convert to fraction form
    849.42/1,172.16 = 476.33/x
  3. Step 3: Cross multiply
    849.42x = 1,172.16 × 476.33
  4. Step 4: Simplify right side
    849.42x = 558,329.11
  5. Step 5: Solve for x
    x = 558,329.11/849.42
  6. Step 6: Final answer
    x = 657.31

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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.