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Finding the Fourth Proportional to 1,406.30, 2,109.86 and 676.49

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Solution

The fourth proportional to 1,406.30, 2,109.86 and 676.49 is: 1,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.30 : 2,109.86 = 676.49 : x
  2. Step 2: Convert to fraction form
    1,406.30/2,109.86 = 676.49/x
  3. Step 3: Cross multiply
    1,406.30x = 2,109.86 × 676.49
  4. Step 4: Simplify right side
    1,406.30x = 1,427,285.26
  5. Step 5: Solve for x
    x = 1,427,285.26/1,406.30
  6. Step 6: Final answer
    x = 1,014.93

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1.5x scale

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.