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Finding the Fourth Proportional to 1,194.32, 1,792.20 and 464.51

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Solution

The fourth proportional to 1,194.32, 1,792.20 and 464.51 is: 697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.32 : 1,792.20 = 464.51 : x
  2. Step 2: Convert to fraction form
    1,194.32/1,792.20 = 464.51/x
  3. Step 3: Cross multiply
    1,194.32x = 1,792.20 × 464.51
  4. Step 4: Simplify right side
    1,194.32x = 832,485.86
  5. Step 5: Solve for x
    x = 832,485.86/1,194.32
  6. Step 6: Final answer
    x = 697.04

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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.