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Finding the Fourth Proportional to 2,903.99, 4,355.94 and 712.73

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Solution

The fourth proportional to 2,903.99, 4,355.94 and 712.73 is: 1,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.99 : 4,355.94 = 712.73 : x
  2. Step 2: Convert to fraction form
    2,903.99/4,355.94 = 712.73/x
  3. Step 3: Cross multiply
    2,903.99x = 4,355.94 × 712.73
  4. Step 4: Simplify right side
    2,903.99x = 3,104,587.34
  5. Step 5: Solve for x
    x = 3,104,587.34/2,903.99
  6. Step 6: Final answer
    x = 1,069.08

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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.