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Finding the Fourth Proportional to 1,406.91, 2,107.19 and 677.03

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Solution

The fourth proportional to 1,406.91, 2,107.19 and 677.03 is: 1,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.91 : 2,107.19 = 677.03 : x
  2. Step 2: Convert to fraction form
    1,406.91/2,107.19 = 677.03/x
  3. Step 3: Cross multiply
    1,406.91x = 2,107.19 × 677.03
  4. Step 4: Simplify right side
    1,406.91x = 1,426,622.19
  5. Step 5: Solve for x
    x = 1,426,622.19/1,406.91
  6. Step 6: Final answer
    x = 1,014.01

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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.