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Finding the Fourth Proportional to 1,374.46, 2,061.26 and 496.85

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Solution

The fourth proportional to 1,374.46, 2,061.26 and 496.85 is: 745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.46 : 2,061.26 = 496.85 : x
  2. Step 2: Convert to fraction form
    1,374.46/2,061.26 = 496.85/x
  3. Step 3: Cross multiply
    1,374.46x = 2,061.26 × 496.85
  4. Step 4: Simplify right side
    1,374.46x = 1,024,137.03
  5. Step 5: Solve for x
    x = 1,024,137.03/1,374.46
  6. Step 6: Final answer
    x = 745.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.