Home / 1,190.24-1,785.56-459.92

Finding the Fourth Proportional to 1,190.24, 1,785.56 and 459.92

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Solution

The fourth proportional to 1,190.24, 1,785.56 and 459.92 is: 689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.24 : 1,785.56 = 459.92 : x
  2. Step 2: Convert to fraction form
    1,190.24/1,785.56 = 459.92/x
  3. Step 3: Cross multiply
    1,190.24x = 1,785.56 × 459.92
  4. Step 4: Simplify right side
    1,190.24x = 821,214.76
  5. Step 5: Solve for x
    x = 821,214.76/1,190.24
  6. Step 6: Final answer
    x = 689.96

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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.