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Finding the Fourth Proportional to 1,464.19, 2,197.01 and 684.25

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Solution

The fourth proportional to 1,464.19, 2,197.01 and 684.25 is: 1,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.19 : 2,197.01 = 684.25 : x
  2. Step 2: Convert to fraction form
    1,464.19/2,197.01 = 684.25/x
  3. Step 3: Cross multiply
    1,464.19x = 2,197.01 × 684.25
  4. Step 4: Simplify right side
    1,464.19x = 1,503,295.00
  5. Step 5: Solve for x
    x = 1,503,295.00/1,464.19
  6. Step 6: Final answer
    x = 1,026.71

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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.