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Finding the Fourth Proportional to 1,364.74, 1,883.33 and 775.27

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Solution

The fourth proportional to 1,364.74, 1,883.33 and 775.27 is: 1,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.74 : 1,883.33 = 775.27 : x
  2. Step 2: Convert to fraction form
    1,364.74/1,883.33 = 775.27/x
  3. Step 3: Cross multiply
    1,364.74x = 1,883.33 × 775.27
  4. Step 4: Simplify right side
    1,364.74x = 1,460,084.40
  5. Step 5: Solve for x
    x = 1,460,084.40/1,364.74
  6. Step 6: Final answer
    x = 1,069.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.