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Finding the Fourth Proportional to 849.04, 1,171.72 and 476

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Solution

The fourth proportional to 849.04, 1,171.72 and 476 is: 656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.04 : 1,171.72 = 476 : x
  2. Step 2: Convert to fraction form
    849.04/1,171.72 = 476/x
  3. Step 3: Cross multiply
    849.04x = 1,171.72 × 476
  4. Step 4: Simplify right side
    849.04x = 557,738.72
  5. Step 5: Solve for x
    x = 557,738.72/849.04
  6. Step 6: Final answer
    x = 656.91

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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.