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Finding the Fourth Proportional to 849.47, 1,172.24 and 476.54

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Solution

The fourth proportional to 849.47, 1,172.24 and 476.54 is: 657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.47 : 1,172.24 = 476.54 : x
  2. Step 2: Convert to fraction form
    849.47/1,172.24 = 476.54/x
  3. Step 3: Cross multiply
    849.47x = 1,172.24 × 476.54
  4. Step 4: Simplify right side
    849.47x = 558,613.39
  5. Step 5: Solve for x
    x = 558,613.39/849.47
  6. Step 6: Final answer
    x = 657.60

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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.