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Finding the Fourth Proportional to 848.71, 1,171.23 and 475.71

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Solution

The fourth proportional to 848.71, 1,171.23 and 475.71 is: 656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.71 : 1,171.23 = 475.71 : x
  2. Step 2: Convert to fraction form
    848.71/1,171.23 = 475.71/x
  3. Step 3: Cross multiply
    848.71x = 1,171.23 × 475.71
  4. Step 4: Simplify right side
    848.71x = 557,159.65
  5. Step 5: Solve for x
    x = 557,159.65/848.71
  6. Step 6: Final answer
    x = 656.48

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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.