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Finding the Fourth Proportional to 913.73, 1,371.77 and 784.56

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Solution

The fourth proportional to 913.73, 1,371.77 and 784.56 is: 1,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.73 : 1,371.77 = 784.56 : x
  2. Step 2: Convert to fraction form
    913.73/1,371.77 = 784.56/x
  3. Step 3: Cross multiply
    913.73x = 1,371.77 × 784.56
  4. Step 4: Simplify right side
    913.73x = 1,076,235.87
  5. Step 5: Solve for x
    x = 1,076,235.87/913.73
  6. Step 6: Final answer
    x = 1,177.85

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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.