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Finding the Fourth Proportional to 913.37, 1,370 and 811.82

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Solution

The fourth proportional to 913.37, 1,370 and 811.82 is: 1,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.37 : 1,370 = 811.82 : x
  2. Step 2: Convert to fraction form
    913.37/1,370 = 811.82/x
  3. Step 3: Cross multiply
    913.37x = 1,370 × 811.82
  4. Step 4: Simplify right side
    913.37x = 1,112,186.55
  5. Step 5: Solve for x
    x = 1,112,186.55/913.37
  6. Step 6: Final answer
    x = 1,217.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.