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Finding the Fourth Proportional to 848.36, 1,170.42 and 537.80

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Solution

The fourth proportional to 848.36, 1,170.42 and 537.80 is: 741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.36 : 1,170.42 = 537.80 : x
  2. Step 2: Convert to fraction form
    848.36/1,170.42 = 537.80/x
  3. Step 3: Cross multiply
    848.36x = 1,170.42 × 537.80
  4. Step 4: Simplify right side
    848.36x = 629,451.88
  5. Step 5: Solve for x
    x = 629,451.88/848.36
  6. Step 6: Final answer
    x = 741.96

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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.