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Finding the Fourth Proportional to 1,411.05, 2,116.17 and 486.57

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Solution

The fourth proportional to 1,411.05, 2,116.17 and 486.57 is: 729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.05 : 2,116.17 = 486.57 : x
  2. Step 2: Convert to fraction form
    1,411.05/2,116.17 = 486.57/x
  3. Step 3: Cross multiply
    1,411.05x = 2,116.17 × 486.57
  4. Step 4: Simplify right side
    1,411.05x = 1,029,664.84
  5. Step 5: Solve for x
    x = 1,029,664.84/1,411.05
  6. Step 6: Final answer
    x = 729.72

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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.