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Finding the Fourth Proportional to 733.86, 1,012.70 and 438.98

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Solution

The fourth proportional to 733.86, 1,012.70 and 438.98 is: 605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.86 : 1,012.70 = 438.98 : x
  2. Step 2: Convert to fraction form
    733.86/1,012.70 = 438.98/x
  3. Step 3: Cross multiply
    733.86x = 1,012.70 × 438.98
  4. Step 4: Simplify right side
    733.86x = 444,549.98
  5. Step 5: Solve for x
    x = 444,549.98/733.86
  6. Step 6: Final answer
    x = 605.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.