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Finding the Fourth Proportional to 1,017.71, 1,411.63 and 990.71

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Solution

The fourth proportional to 1,017.71, 1,411.63 and 990.71 is: 1,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.71 : 1,411.63 = 990.71 : x
  2. Step 2: Convert to fraction form
    1,017.71/1,411.63 = 990.71/x
  3. Step 3: Cross multiply
    1,017.71x = 1,411.63 × 990.71
  4. Step 4: Simplify right side
    1,017.71x = 1,398,511.72
  5. Step 5: Solve for x
    x = 1,398,511.72/1,017.71
  6. Step 6: Final answer
    x = 1,374.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.