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Finding the Fourth Proportional to 848.76, 1,171.17 and 475.71

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Solution

The fourth proportional to 848.76, 1,171.17 and 475.71 is: 656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.76 : 1,171.17 = 475.71 : x
  2. Step 2: Convert to fraction form
    848.76/1,171.17 = 475.71/x
  3. Step 3: Cross multiply
    848.76x = 1,171.17 × 475.71
  4. Step 4: Simplify right side
    848.76x = 557,137.28
  5. Step 5: Solve for x
    x = 557,137.28/848.76
  6. Step 6: Final answer
    x = 656.41

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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.