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Finding the Fourth Proportional to 1,688.73, 2,533.22 and 811.42

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Solution

The fourth proportional to 1,688.73, 2,533.22 and 811.42 is: 1,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.73 : 2,533.22 = 811.42 : x
  2. Step 2: Convert to fraction form
    1,688.73/2,533.22 = 811.42/x
  3. Step 3: Cross multiply
    1,688.73x = 2,533.22 × 811.42
  4. Step 4: Simplify right side
    1,688.73x = 2,055,505.37
  5. Step 5: Solve for x
    x = 2,055,505.37/1,688.73
  6. Step 6: Final answer
    x = 1,217.19

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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.