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Finding the Fourth Proportional to 848.84, 1,171.43 and 475.80

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Solution

The fourth proportional to 848.84, 1,171.43 and 475.80 is: 656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.84 : 1,171.43 = 475.80 : x
  2. Step 2: Convert to fraction form
    848.84/1,171.43 = 475.80/x
  3. Step 3: Cross multiply
    848.84x = 1,171.43 × 475.80
  4. Step 4: Simplify right side
    848.84x = 557,366.39
  5. Step 5: Solve for x
    x = 557,366.39/848.84
  6. Step 6: Final answer
    x = 656.62

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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.