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Finding the Fourth Proportional to 1,406.96, 2,109.36 and 676.14

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Solution

The fourth proportional to 1,406.96, 2,109.36 and 676.14 is: 1,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.96 : 2,109.36 = 676.14 : x
  2. Step 2: Convert to fraction form
    1,406.96/2,109.36 = 676.14/x
  3. Step 3: Cross multiply
    1,406.96x = 2,109.36 × 676.14
  4. Step 4: Simplify right side
    1,406.96x = 1,426,222.67
  5. Step 5: Solve for x
    x = 1,426,222.67/1,406.96
  6. Step 6: Final answer
    x = 1,013.69

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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.