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Finding the Fourth Proportional to 733.88, 1,012.45 and 537.05

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Solution

The fourth proportional to 733.88, 1,012.45 and 537.05 is: 740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.88 : 1,012.45 = 537.05 : x
  2. Step 2: Convert to fraction form
    733.88/1,012.45 = 537.05/x
  3. Step 3: Cross multiply
    733.88x = 1,012.45 × 537.05
  4. Step 4: Simplify right side
    733.88x = 543,732.77
  5. Step 5: Solve for x
    x = 543,732.77/733.88
  6. Step 6: Final answer
    x = 740.90

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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.