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Finding the Fourth Proportional to 733.77, 1,012.37 and 438.98

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Solution

The fourth proportional to 733.77, 1,012.37 and 438.98 is: 605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.77 : 1,012.37 = 438.98 : x
  2. Step 2: Convert to fraction form
    733.77/1,012.37 = 438.98/x
  3. Step 3: Cross multiply
    733.77x = 1,012.37 × 438.98
  4. Step 4: Simplify right side
    733.77x = 444,402.93
  5. Step 5: Solve for x
    x = 444,402.93/733.77
  6. Step 6: Final answer
    x = 605.64

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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.