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Finding the Fourth Proportional to 1,399.77, 1,930.86 and 874.89

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Solution

The fourth proportional to 1,399.77, 1,930.86 and 874.89 is: 1,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.77 : 1,930.86 = 874.89 : x
  2. Step 2: Convert to fraction form
    1,399.77/1,930.86 = 874.89/x
  3. Step 3: Cross multiply
    1,399.77x = 1,930.86 × 874.89
  4. Step 4: Simplify right side
    1,399.77x = 1,689,290.11
  5. Step 5: Solve for x
    x = 1,689,290.11/1,399.77
  6. Step 6: Final answer
    x = 1,206.83

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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.