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Finding the Fourth Proportional to 1,406.46, 1,939.08 and 963.60

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Solution

The fourth proportional to 1,406.46, 1,939.08 and 963.60 is: 1,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.46 : 1,939.08 = 963.60 : x
  2. Step 2: Convert to fraction form
    1,406.46/1,939.08 = 963.60/x
  3. Step 3: Cross multiply
    1,406.46x = 1,939.08 × 963.60
  4. Step 4: Simplify right side
    1,406.46x = 1,868,497.49
  5. Step 5: Solve for x
    x = 1,868,497.49/1,406.46
  6. Step 6: Final answer
    x = 1,328.51

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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.