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Finding the Fourth Proportional to 895.26, 1,343.42 and 375.22

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Solution

The fourth proportional to 895.26, 1,343.42 and 375.22 is: 563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.26 : 1,343.42 = 375.22 : x
  2. Step 2: Convert to fraction form
    895.26/1,343.42 = 375.22/x
  3. Step 3: Cross multiply
    895.26x = 1,343.42 × 375.22
  4. Step 4: Simplify right side
    895.26x = 504,078.05
  5. Step 5: Solve for x
    x = 504,078.05/895.26
  6. Step 6: Final answer
    x = 563.05

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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.