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Finding the Fourth Proportional to 1,415.94, 1,954.22 and 818.46

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Solution

The fourth proportional to 1,415.94, 1,954.22 and 818.46 is: 1,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.94 : 1,954.22 = 818.46 : x
  2. Step 2: Convert to fraction form
    1,415.94/1,954.22 = 818.46/x
  3. Step 3: Cross multiply
    1,415.94x = 1,954.22 × 818.46
  4. Step 4: Simplify right side
    1,415.94x = 1,599,450.90
  5. Step 5: Solve for x
    x = 1,599,450.90/1,415.94
  6. Step 6: Final answer
    x = 1,129.60

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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.