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Finding the Fourth Proportional to 1,314.42, 1,971.42 and 855.46

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Solution

The fourth proportional to 1,314.42, 1,971.42 and 855.46 is: 1,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.42 : 1,971.42 = 855.46 : x
  2. Step 2: Convert to fraction form
    1,314.42/1,971.42 = 855.46/x
  3. Step 3: Cross multiply
    1,314.42x = 1,971.42 × 855.46
  4. Step 4: Simplify right side
    1,314.42x = 1,686,470.95
  5. Step 5: Solve for x
    x = 1,686,470.95/1,314.42
  6. Step 6: Final answer
    x = 1,283.05

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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.