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Finding the Fourth Proportional to 895.76, 1,343.78 and 433.46

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Solution

The fourth proportional to 895.76, 1,343.78 and 433.46 is: 650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.76 : 1,343.78 = 433.46 : x
  2. Step 2: Convert to fraction form
    895.76/1,343.78 = 433.46/x
  3. Step 3: Cross multiply
    895.76x = 1,343.78 × 433.46
  4. Step 4: Simplify right side
    895.76x = 582,474.88
  5. Step 5: Solve for x
    x = 582,474.88/895.76
  6. Step 6: Final answer
    x = 650.26

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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.