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Finding the Fourth Proportional to 756.30, 1,133.21 and 467.14

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Solution

The fourth proportional to 756.30, 1,133.21 and 467.14 is: 699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.30 : 1,133.21 = 467.14 : x
  2. Step 2: Convert to fraction form
    756.30/1,133.21 = 467.14/x
  3. Step 3: Cross multiply
    756.30x = 1,133.21 × 467.14
  4. Step 4: Simplify right side
    756.30x = 529,367.72
  5. Step 5: Solve for x
    x = 529,367.72/756.30
  6. Step 6: Final answer
    x = 699.94

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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.