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Finding the Fourth Proportional to 1,436.07, 1,979.94 and 963.21

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Solution

The fourth proportional to 1,436.07, 1,979.94 and 963.21 is: 1,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.07 : 1,979.94 = 963.21 : x
  2. Step 2: Convert to fraction form
    1,436.07/1,979.94 = 963.21/x
  3. Step 3: Cross multiply
    1,436.07x = 1,979.94 × 963.21
  4. Step 4: Simplify right side
    1,436.07x = 1,907,101.82
  5. Step 5: Solve for x
    x = 1,907,101.82/1,436.07
  6. Step 6: Final answer
    x = 1,328.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.