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Finding the Fourth Proportional to 1,406.30, 1,939.73 and 964.23

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Solution

The fourth proportional to 1,406.30, 1,939.73 and 964.23 is: 1,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.30 : 1,939.73 = 964.23 : x
  2. Step 2: Convert to fraction form
    1,406.30/1,939.73 = 964.23/x
  3. Step 3: Cross multiply
    1,406.30x = 1,939.73 × 964.23
  4. Step 4: Simplify right side
    1,406.30x = 1,870,341.04
  5. Step 5: Solve for x
    x = 1,870,341.04/1,406.30
  6. Step 6: Final answer
    x = 1,329.98

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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.