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Finding the Fourth Proportional to 941.49, 1,412.19 and 697.23

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Solution

The fourth proportional to 941.49, 1,412.19 and 697.23 is: 1,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.49 : 1,412.19 = 697.23 : x
  2. Step 2: Convert to fraction form
    941.49/1,412.19 = 697.23/x
  3. Step 3: Cross multiply
    941.49x = 1,412.19 × 697.23
  4. Step 4: Simplify right side
    941.49x = 984,621.23
  5. Step 5: Solve for x
    x = 984,621.23/941.49
  6. Step 6: Final answer
    x = 1,045.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.