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Finding the Fourth Proportional to 1,406.64, 2,108.19 and 712.26

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Solution

The fourth proportional to 1,406.64, 2,108.19 and 712.26 is: 1,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.64 : 2,108.19 = 712.26 : x
  2. Step 2: Convert to fraction form
    1,406.64/2,108.19 = 712.26/x
  3. Step 3: Cross multiply
    1,406.64x = 2,108.19 × 712.26
  4. Step 4: Simplify right side
    1,406.64x = 1,501,579.41
  5. Step 5: Solve for x
    x = 1,501,579.41/1,406.64
  6. Step 6: Final answer
    x = 1,067.49

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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.