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Finding the Fourth Proportional to 1,465.73, 2,199.41 and 816.83

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Solution

The fourth proportional to 1,465.73, 2,199.41 and 816.83 is: 1,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.73 : 2,199.41 = 816.83 : x
  2. Step 2: Convert to fraction form
    1,465.73/2,199.41 = 816.83/x
  3. Step 3: Cross multiply
    1,465.73x = 2,199.41 × 816.83
  4. Step 4: Simplify right side
    1,465.73x = 1,796,539.99
  5. Step 5: Solve for x
    x = 1,796,539.99/1,465.73
  6. Step 6: Final answer
    x = 1,225.70

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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.