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Finding the Fourth Proportional to 1,495.36, 2,063.64 and 905.55

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Solution

The fourth proportional to 1,495.36, 2,063.64 and 905.55 is: 1,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.36 : 2,063.64 = 905.55 : x
  2. Step 2: Convert to fraction form
    1,495.36/2,063.64 = 905.55/x
  3. Step 3: Cross multiply
    1,495.36x = 2,063.64 × 905.55
  4. Step 4: Simplify right side
    1,495.36x = 1,868,738.45
  5. Step 5: Solve for x
    x = 1,868,738.45/1,495.36
  6. Step 6: Final answer
    x = 1,249.69

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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.