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Finding the Fourth Proportional to 763.73, 1,053.96 and 414.42

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Solution

The fourth proportional to 763.73, 1,053.96 and 414.42 is: 571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.73 : 1,053.96 = 414.42 : x
  2. Step 2: Convert to fraction form
    763.73/1,053.96 = 414.42/x
  3. Step 3: Cross multiply
    763.73x = 1,053.96 × 414.42
  4. Step 4: Simplify right side
    763.73x = 436,782.53
  5. Step 5: Solve for x
    x = 436,782.53/763.73
  6. Step 6: Final answer
    x = 571.90

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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.