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Finding the Fourth Proportional to 1,336.65, 1,842.39 and 963.11

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Solution

The fourth proportional to 1,336.65, 1,842.39 and 963.11 is: 1,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.65 : 1,842.39 = 963.11 : x
  2. Step 2: Convert to fraction form
    1,336.65/1,842.39 = 963.11/x
  3. Step 3: Cross multiply
    1,336.65x = 1,842.39 × 963.11
  4. Step 4: Simplify right side
    1,336.65x = 1,774,415.02
  5. Step 5: Solve for x
    x = 1,774,415.02/1,336.65
  6. Step 6: Final answer
    x = 1,327.51

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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.