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Finding the Fourth Proportional to 848.14, 1,170.65 and 516.78

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Solution

The fourth proportional to 848.14, 1,170.65 and 516.78 is: 713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.14 : 1,170.65 = 516.78 : x
  2. Step 2: Convert to fraction form
    848.14/1,170.65 = 516.78/x
  3. Step 3: Cross multiply
    848.14x = 1,170.65 × 516.78
  4. Step 4: Simplify right side
    848.14x = 604,969.80
  5. Step 5: Solve for x
    x = 604,969.80/848.14
  6. Step 6: Final answer
    x = 713.29

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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.