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Finding the Fourth Proportional to 1,411.58, 2,117.25 and 680.96

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Solution

The fourth proportional to 1,411.58, 2,117.25 and 680.96 is: 1,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.58 : 2,117.25 = 680.96 : x
  2. Step 2: Convert to fraction form
    1,411.58/2,117.25 = 680.96/x
  3. Step 3: Cross multiply
    1,411.58x = 2,117.25 × 680.96
  4. Step 4: Simplify right side
    1,411.58x = 1,441,751.97
  5. Step 5: Solve for x
    x = 1,441,751.97/1,411.58
  6. Step 6: Final answer
    x = 1,021.38

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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.