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Finding the Fourth Proportional to 740.72, 1,022.18 and 409.14

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Solution

The fourth proportional to 740.72, 1,022.18 and 409.14 is: 564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.72 : 1,022.18 = 409.14 : x
  2. Step 2: Convert to fraction form
    740.72/1,022.18 = 409.14/x
  3. Step 3: Cross multiply
    740.72x = 1,022.18 × 409.14
  4. Step 4: Simplify right side
    740.72x = 418,214.73
  5. Step 5: Solve for x
    x = 418,214.73/740.72
  6. Step 6: Final answer
    x = 564.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.