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Finding the Fourth Proportional to 1,045.49, 1,441.37 and 867.81

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Solution

The fourth proportional to 1,045.49, 1,441.37 and 867.81 is: 1,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.49 : 1,441.37 = 867.81 : x
  2. Step 2: Convert to fraction form
    1,045.49/1,441.37 = 867.81/x
  3. Step 3: Cross multiply
    1,045.49x = 1,441.37 × 867.81
  4. Step 4: Simplify right side
    1,045.49x = 1,250,830.96
  5. Step 5: Solve for x
    x = 1,250,830.96/1,045.49
  6. Step 6: Final answer
    x = 1,196.41

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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.