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Finding the Fourth Proportional to 733.19, 1,011.93 and 438.62

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Solution

The fourth proportional to 733.19, 1,011.93 and 438.62 is: 605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.19 : 1,011.93 = 438.62 : x
  2. Step 2: Convert to fraction form
    733.19/1,011.93 = 438.62/x
  3. Step 3: Cross multiply
    733.19x = 1,011.93 × 438.62
  4. Step 4: Simplify right side
    733.19x = 443,852.74
  5. Step 5: Solve for x
    x = 443,852.74/733.19
  6. Step 6: Final answer
    x = 605.37

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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.