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Finding the Fourth Proportional to 937.96, 1,291.14 and 811.87

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Solution

The fourth proportional to 937.96, 1,291.14 and 811.87 is: 1,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.96 : 1,291.14 = 811.87 : x
  2. Step 2: Convert to fraction form
    937.96/1,291.14 = 811.87/x
  3. Step 3: Cross multiply
    937.96x = 1,291.14 × 811.87
  4. Step 4: Simplify right side
    937.96x = 1,048,237.83
  5. Step 5: Solve for x
    x = 1,048,237.83/937.96
  6. Step 6: Final answer
    x = 1,117.57

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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.