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Finding the Fourth Proportional to 1,338.48, 1,844.61 and 964.83

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Solution

The fourth proportional to 1,338.48, 1,844.61 and 964.83 is: 1,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.48 : 1,844.61 = 964.83 : x
  2. Step 2: Convert to fraction form
    1,338.48/1,844.61 = 964.83/x
  3. Step 3: Cross multiply
    1,338.48x = 1,844.61 × 964.83
  4. Step 4: Simplify right side
    1,338.48x = 1,779,735.07
  5. Step 5: Solve for x
    x = 1,779,735.07/1,338.48
  6. Step 6: Final answer
    x = 1,329.67

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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.