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Finding the Fourth Proportional to 848.10, 1,170.14 and 516.81

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Solution

The fourth proportional to 848.10, 1,170.14 and 516.81 is: 713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.10 : 1,170.14 = 516.81 : x
  2. Step 2: Convert to fraction form
    848.10/1,170.14 = 516.81/x
  3. Step 3: Cross multiply
    848.10x = 1,170.14 × 516.81
  4. Step 4: Simplify right side
    848.10x = 604,737.47
  5. Step 5: Solve for x
    x = 604,737.47/848.10
  6. Step 6: Final answer
    x = 713.05

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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.