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Finding the Fourth Proportional to 1,194.37, 1,790.86 and 463.09

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Solution

The fourth proportional to 1,194.37, 1,790.86 and 463.09 is: 694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.37 : 1,790.86 = 463.09 : x
  2. Step 2: Convert to fraction form
    1,194.37/1,790.86 = 463.09/x
  3. Step 3: Cross multiply
    1,194.37x = 1,790.86 × 463.09
  4. Step 4: Simplify right side
    1,194.37x = 829,332.99
  5. Step 5: Solve for x
    x = 829,332.99/1,194.37
  6. Step 6: Final answer
    x = 694.37

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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.