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Finding the Fourth Proportional to 740.26, 1,021.45 and 441.42

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Solution

The fourth proportional to 740.26, 1,021.45 and 441.42 is: 609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.26 : 1,021.45 = 441.42 : x
  2. Step 2: Convert to fraction form
    740.26/1,021.45 = 441.42/x
  3. Step 3: Cross multiply
    740.26x = 1,021.45 × 441.42
  4. Step 4: Simplify right side
    740.26x = 450,888.46
  5. Step 5: Solve for x
    x = 450,888.46/740.26
  6. Step 6: Final answer
    x = 609.09

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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.