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Finding the Fourth Proportional to 1,277.09, 1,912.94 and 584.34

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Solution

The fourth proportional to 1,277.09, 1,912.94 and 584.34 is: 875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.09 : 1,912.94 = 584.34 : x
  2. Step 2: Convert to fraction form
    1,277.09/1,912.94 = 584.34/x
  3. Step 3: Cross multiply
    1,277.09x = 1,912.94 × 584.34
  4. Step 4: Simplify right side
    1,277.09x = 1,117,803.04
  5. Step 5: Solve for x
    x = 1,117,803.04/1,277.09
  6. Step 6: Final answer
    x = 875.27

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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.