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Finding the Fourth Proportional to 1,338.83, 1,847.72 and 771.68

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Solution

The fourth proportional to 1,338.83, 1,847.72 and 771.68 is: 1,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.83 : 1,847.72 = 771.68 : x
  2. Step 2: Convert to fraction form
    1,338.83/1,847.72 = 771.68/x
  3. Step 3: Cross multiply
    1,338.83x = 1,847.72 × 771.68
  4. Step 4: Simplify right side
    1,338.83x = 1,425,848.57
  5. Step 5: Solve for x
    x = 1,425,848.57/1,338.83
  6. Step 6: Final answer
    x = 1,065.00

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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.