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Finding the Fourth Proportional to 769.22, 1,061.26 and 474.45

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Solution

The fourth proportional to 769.22, 1,061.26 and 474.45 is: 654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.22 : 1,061.26 = 474.45 : x
  2. Step 2: Convert to fraction form
    769.22/1,061.26 = 474.45/x
  3. Step 3: Cross multiply
    769.22x = 1,061.26 × 474.45
  4. Step 4: Simplify right side
    769.22x = 503,514.81
  5. Step 5: Solve for x
    x = 503,514.81/769.22
  6. Step 6: Final answer
    x = 654.58

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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.