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Finding the Fourth Proportional to 1,411.82, 1,948.32 and 790.82

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Solution

The fourth proportional to 1,411.82, 1,948.32 and 790.82 is: 1,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.82 : 1,948.32 = 790.82 : x
  2. Step 2: Convert to fraction form
    1,411.82/1,948.32 = 790.82/x
  3. Step 3: Cross multiply
    1,411.82x = 1,948.32 × 790.82
  4. Step 4: Simplify right side
    1,411.82x = 1,540,756.73
  5. Step 5: Solve for x
    x = 1,540,756.73/1,411.82
  6. Step 6: Final answer
    x = 1,091.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.