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Finding the Fourth Proportional to 1,404.77, 2,105.56 and 855.74

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Solution

The fourth proportional to 1,404.77, 2,105.56 and 855.74 is: 1,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.77 : 2,105.56 = 855.74 : x
  2. Step 2: Convert to fraction form
    1,404.77/2,105.56 = 855.74/x
  3. Step 3: Cross multiply
    1,404.77x = 2,105.56 × 855.74
  4. Step 4: Simplify right side
    1,404.77x = 1,801,818.25
  5. Step 5: Solve for x
    x = 1,801,818.25/1,404.77
  6. Step 6: Final answer
    x = 1,282.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.