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Finding the Fourth Proportional to 1,390.74, 2,085.06 and 842.78

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Solution

The fourth proportional to 1,390.74, 2,085.06 and 842.78 is: 1,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.74 : 2,085.06 = 842.78 : x
  2. Step 2: Convert to fraction form
    1,390.74/2,085.06 = 842.78/x
  3. Step 3: Cross multiply
    1,390.74x = 2,085.06 × 842.78
  4. Step 4: Simplify right side
    1,390.74x = 1,757,255.24
  5. Step 5: Solve for x
    x = 1,757,255.24/1,390.74
  6. Step 6: Final answer
    x = 1,263.54

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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.