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Finding the Fourth Proportional to 1,362.84, 2,043.85 and 496.95

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Solution

The fourth proportional to 1,362.84, 2,043.85 and 496.95 is: 745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.84 : 2,043.85 = 496.95 : x
  2. Step 2: Convert to fraction form
    1,362.84/2,043.85 = 496.95/x
  3. Step 3: Cross multiply
    1,362.84x = 2,043.85 × 496.95
  4. Step 4: Simplify right side
    1,362.84x = 1,015,691.26
  5. Step 5: Solve for x
    x = 1,015,691.26/1,362.84
  6. Step 6: Final answer
    x = 745.28

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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.