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Finding the Fourth Proportional to 1,584.85, 2,376.75 and 544.63

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Solution

The fourth proportional to 1,584.85, 2,376.75 and 544.63 is: 816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.85 : 2,376.75 = 544.63 : x
  2. Step 2: Convert to fraction form
    1,584.85/2,376.75 = 544.63/x
  3. Step 3: Cross multiply
    1,584.85x = 2,376.75 × 544.63
  4. Step 4: Simplify right side
    1,584.85x = 1,294,449.35
  5. Step 5: Solve for x
    x = 1,294,449.35/1,584.85
  6. Step 6: Final answer
    x = 816.76

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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.