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Finding the Fourth Proportional to 1,204.81, 1,805.38 and 895.22

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Solution

The fourth proportional to 1,204.81, 1,805.38 and 895.22 is: 1,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.81 : 1,805.38 = 895.22 : x
  2. Step 2: Convert to fraction form
    1,204.81/1,805.38 = 895.22/x
  3. Step 3: Cross multiply
    1,204.81x = 1,805.38 × 895.22
  4. Step 4: Simplify right side
    1,204.81x = 1,616,212.28
  5. Step 5: Solve for x
    x = 1,616,212.28/1,204.81
  6. Step 6: Final answer
    x = 1,341.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.