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Finding the Fourth Proportional to 848.68, 1,171.87 and 691.34

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Solution

The fourth proportional to 848.68, 1,171.87 and 691.34 is: 954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.68 : 1,171.87 = 691.34 : x
  2. Step 2: Convert to fraction form
    848.68/1,171.87 = 691.34/x
  3. Step 3: Cross multiply
    848.68x = 1,171.87 × 691.34
  4. Step 4: Simplify right side
    848.68x = 810,153.02
  5. Step 5: Solve for x
    x = 810,153.02/848.68
  6. Step 6: Final answer
    x = 954.61

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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.