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Finding the Fourth Proportional to 1,190.81, 1,785.90 and 460.19

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Solution

The fourth proportional to 1,190.81, 1,785.90 and 460.19 is: 690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.81 : 1,785.90 = 460.19 : x
  2. Step 2: Convert to fraction form
    1,190.81/1,785.90 = 460.19/x
  3. Step 3: Cross multiply
    1,190.81x = 1,785.90 × 460.19
  4. Step 4: Simplify right side
    1,190.81x = 821,853.32
  5. Step 5: Solve for x
    x = 821,853.32/1,190.81
  6. Step 6: Final answer
    x = 690.16

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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.