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Finding the Fourth Proportional to 1,190.13, 1,785.46 and 420.63

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Solution

The fourth proportional to 1,190.13, 1,785.46 and 420.63 is: 631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.13 : 1,785.46 = 420.63 : x
  2. Step 2: Convert to fraction form
    1,190.13/1,785.46 = 420.63/x
  3. Step 3: Cross multiply
    1,190.13x = 1,785.46 × 420.63
  4. Step 4: Simplify right side
    1,190.13x = 751,018.04
  5. Step 5: Solve for x
    x = 751,018.04/1,190.13
  6. Step 6: Final answer
    x = 631.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.