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Finding the Fourth Proportional to 1,497.21, 2,245.74 and 573.21

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Solution

The fourth proportional to 1,497.21, 2,245.74 and 573.21 is: 859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.21 : 2,245.74 = 573.21 : x
  2. Step 2: Convert to fraction form
    1,497.21/2,245.74 = 573.21/x
  3. Step 3: Cross multiply
    1,497.21x = 2,245.74 × 573.21
  4. Step 4: Simplify right side
    1,497.21x = 1,287,280.63
  5. Step 5: Solve for x
    x = 1,287,280.63/1,497.21
  6. Step 6: Final answer
    x = 859.79

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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.