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Finding the Fourth Proportional to 1,194.83, 1,792.23 and 464.92

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Solution

The fourth proportional to 1,194.83, 1,792.23 and 464.92 is: 697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.83 : 1,792.23 = 464.92 : x
  2. Step 2: Convert to fraction form
    1,194.83/1,792.23 = 464.92/x
  3. Step 3: Cross multiply
    1,194.83x = 1,792.23 × 464.92
  4. Step 4: Simplify right side
    1,194.83x = 833,243.57
  5. Step 5: Solve for x
    x = 833,243.57/1,194.83
  6. Step 6: Final answer
    x = 697.37

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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.