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Finding the Fourth Proportional to 1,050.50, 1,449.74 and 584.75

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Solution

The fourth proportional to 1,050.50, 1,449.74 and 584.75 is: 806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.50 : 1,449.74 = 584.75 : x
  2. Step 2: Convert to fraction form
    1,050.50/1,449.74 = 584.75/x
  3. Step 3: Cross multiply
    1,050.50x = 1,449.74 × 584.75
  4. Step 4: Simplify right side
    1,050.50x = 847,735.47
  5. Step 5: Solve for x
    x = 847,735.47/1,050.50
  6. Step 6: Final answer
    x = 806.98

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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.