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Finding the Fourth Proportional to 896.02, 1,345.11 and 531.22

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Solution

The fourth proportional to 896.02, 1,345.11 and 531.22 is: 797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.02 : 1,345.11 = 531.22 : x
  2. Step 2: Convert to fraction form
    896.02/1,345.11 = 531.22/x
  3. Step 3: Cross multiply
    896.02x = 1,345.11 × 531.22
  4. Step 4: Simplify right side
    896.02x = 714,549.33
  5. Step 5: Solve for x
    x = 714,549.33/896.02
  6. Step 6: Final answer
    x = 797.47

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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.