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Finding the Fourth Proportional to 1,329.75, 1,994.63 and 496.99

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Solution

The fourth proportional to 1,329.75, 1,994.63 and 496.99 is: 745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.75 : 1,994.63 = 496.99 : x
  2. Step 2: Convert to fraction form
    1,329.75/1,994.63 = 496.99/x
  3. Step 3: Cross multiply
    1,329.75x = 1,994.63 × 496.99
  4. Step 4: Simplify right side
    1,329.75x = 991,303.69
  5. Step 5: Solve for x
    x = 991,303.69/1,329.75
  6. Step 6: Final answer
    x = 745.48

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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.