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Finding the Fourth Proportional to 1,290.73, 1,790.06 and 1,210.54

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Solution

The fourth proportional to 1,290.73, 1,790.06 and 1,210.54 is: 1,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.73 : 1,790.06 = 1,210.54 : x
  2. Step 2: Convert to fraction form
    1,290.73/1,790.06 = 1,210.54/x
  3. Step 3: Cross multiply
    1,290.73x = 1,790.06 × 1,210.54
  4. Step 4: Simplify right side
    1,290.73x = 2,166,939.23
  5. Step 5: Solve for x
    x = 2,166,939.23/1,290.73
  6. Step 6: Final answer
    x = 1,678.85

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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.