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Finding the Fourth Proportional to 1,190.29, 1,785.25 and 459.77

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Solution

The fourth proportional to 1,190.29, 1,785.25 and 459.77 is: 689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.29 : 1,785.25 = 459.77 : x
  2. Step 2: Convert to fraction form
    1,190.29/1,785.25 = 459.77/x
  3. Step 3: Cross multiply
    1,190.29x = 1,785.25 × 459.77
  4. Step 4: Simplify right side
    1,190.29x = 820,802.09
  5. Step 5: Solve for x
    x = 820,802.09/1,190.29
  6. Step 6: Final answer
    x = 689.58

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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.