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Finding the Fourth Proportional to 1,411.06, 2,117.03 and 680.71

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Solution

The fourth proportional to 1,411.06, 2,117.03 and 680.71 is: 1,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.06 : 2,117.03 = 680.71 : x
  2. Step 2: Convert to fraction form
    1,411.06/2,117.03 = 680.71/x
  3. Step 3: Cross multiply
    1,411.06x = 2,117.03 × 680.71
  4. Step 4: Simplify right side
    1,411.06x = 1,441,083.49
  5. Step 5: Solve for x
    x = 1,441,083.49/1,411.06
  6. Step 6: Final answer
    x = 1,021.28

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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.