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Finding the Fourth Proportional to 1,194.74, 1,792.11 and 464.83

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Solution

The fourth proportional to 1,194.74, 1,792.11 and 464.83 is: 697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.74 : 1,792.11 = 464.83 : x
  2. Step 2: Convert to fraction form
    1,194.74/1,792.11 = 464.83/x
  3. Step 3: Cross multiply
    1,194.74x = 1,792.11 × 464.83
  4. Step 4: Simplify right side
    1,194.74x = 833,015.21
  5. Step 5: Solve for x
    x = 833,015.21/1,194.74
  6. Step 6: Final answer
    x = 697.24

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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.