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Finding the Fourth Proportional to 849.53, 1,172.34 and 476.48

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Solution

The fourth proportional to 849.53, 1,172.34 and 476.48 is: 657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.53 : 1,172.34 = 476.48 : x
  2. Step 2: Convert to fraction form
    849.53/1,172.34 = 476.48/x
  3. Step 3: Cross multiply
    849.53x = 1,172.34 × 476.48
  4. Step 4: Simplify right side
    849.53x = 558,590.70
  5. Step 5: Solve for x
    x = 558,590.70/849.53
  6. Step 6: Final answer
    x = 657.53

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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.