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Finding the Fourth Proportional to 740.70, 1,022.12 and 409.14

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Solution

The fourth proportional to 740.70, 1,022.12 and 409.14 is: 564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.70 : 1,022.12 = 409.14 : x
  2. Step 2: Convert to fraction form
    740.70/1,022.12 = 409.14/x
  3. Step 3: Cross multiply
    740.70x = 1,022.12 × 409.14
  4. Step 4: Simplify right side
    740.70x = 418,190.18
  5. Step 5: Solve for x
    x = 418,190.18/740.70
  6. Step 6: Final answer
    x = 564.59

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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.