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Finding the Fourth Proportional to 1,499.97, 2,249.97 and 678.09

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Solution

The fourth proportional to 1,499.97, 2,249.97 and 678.09 is: 1,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.97 : 2,249.97 = 678.09 : x
  2. Step 2: Convert to fraction form
    1,499.97/2,249.97 = 678.09/x
  3. Step 3: Cross multiply
    1,499.97x = 2,249.97 × 678.09
  4. Step 4: Simplify right side
    1,499.97x = 1,525,682.16
  5. Step 5: Solve for x
    x = 1,525,682.16/1,499.97
  6. Step 6: Final answer
    x = 1,017.14

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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.