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Finding the Fourth Proportional to 1,050.44, 1,449.60 and 584.69

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Solution

The fourth proportional to 1,050.44, 1,449.60 and 584.69 is: 806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.44 : 1,449.60 = 584.69 : x
  2. Step 2: Convert to fraction form
    1,050.44/1,449.60 = 584.69/x
  3. Step 3: Cross multiply
    1,050.44x = 1,449.60 × 584.69
  4. Step 4: Simplify right side
    1,050.44x = 847,566.62
  5. Step 5: Solve for x
    x = 847,566.62/1,050.44
  6. Step 6: Final answer
    x = 806.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.