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Finding the Fourth Proportional to 1,194.62, 1,790.86 and 464.03

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Solution

The fourth proportional to 1,194.62, 1,790.86 and 464.03 is: 695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.62 : 1,790.86 = 464.03 : x
  2. Step 2: Convert to fraction form
    1,194.62/1,790.86 = 464.03/x
  3. Step 3: Cross multiply
    1,194.62x = 1,790.86 × 464.03
  4. Step 4: Simplify right side
    1,194.62x = 831,003.81
  5. Step 5: Solve for x
    x = 831,003.81/1,194.62
  6. Step 6: Final answer
    x = 695.62

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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.