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Finding the Fourth Proportional to 1,412.33, 1,947.74 and 963.99

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Solution

The fourth proportional to 1,412.33, 1,947.74 and 963.99 is: 1,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.33 : 1,947.74 = 963.99 : x
  2. Step 2: Convert to fraction form
    1,412.33/1,947.74 = 963.99/x
  3. Step 3: Cross multiply
    1,412.33x = 1,947.74 × 963.99
  4. Step 4: Simplify right side
    1,412.33x = 1,877,599.77
  5. Step 5: Solve for x
    x = 1,877,599.77/1,412.33
  6. Step 6: Final answer
    x = 1,329.44

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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.