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Finding the Fourth Proportional to 937.14, 1,293.07 and 587.63

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Solution

The fourth proportional to 937.14, 1,293.07 and 587.63 is: 810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.14 : 1,293.07 = 587.63 : x
  2. Step 2: Convert to fraction form
    937.14/1,293.07 = 587.63/x
  3. Step 3: Cross multiply
    937.14x = 1,293.07 × 587.63
  4. Step 4: Simplify right side
    937.14x = 759,846.72
  5. Step 5: Solve for x
    x = 759,846.72/937.14
  6. Step 6: Final answer
    x = 810.81

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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.