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Finding the Fourth Proportional to 733.50, 1,013.49 and 576

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Solution

The fourth proportional to 733.50, 1,013.49 and 576 is: 795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 1,013.49 = 576 : x
  2. Step 2: Convert to fraction form
    733.50/1,013.49 = 576/x
  3. Step 3: Cross multiply
    733.50x = 1,013.49 × 576
  4. Step 4: Simplify right side
    733.50x = 583,770.24
  5. Step 5: Solve for x
    x = 583,770.24/733.50
  6. Step 6: Final answer
    x = 795.87

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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.