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Finding the Fourth Proportional to 1,452.07, 2,003.07 and 919.99

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Solution

The fourth proportional to 1,452.07, 2,003.07 and 919.99 is: 1,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.07 : 2,003.07 = 919.99 : x
  2. Step 2: Convert to fraction form
    1,452.07/2,003.07 = 919.99/x
  3. Step 3: Cross multiply
    1,452.07x = 2,003.07 × 919.99
  4. Step 4: Simplify right side
    1,452.07x = 1,842,804.37
  5. Step 5: Solve for x
    x = 1,842,804.37/1,452.07
  6. Step 6: Final answer
    x = 1,269.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.