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Finding the Fourth Proportional to 895.20, 1,342.80 and 433.03

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Solution

The fourth proportional to 895.20, 1,342.80 and 433.03 is: 649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.20 : 1,342.80 = 433.03 : x
  2. Step 2: Convert to fraction form
    895.20/1,342.80 = 433.03/x
  3. Step 3: Cross multiply
    895.20x = 1,342.80 × 433.03
  4. Step 4: Simplify right side
    895.20x = 581,469.33
  5. Step 5: Solve for x
    x = 581,469.33/895.20
  6. Step 6: Final answer
    x = 649.54

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