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Finding the Fourth Proportional to 1,559.28, 2,339.37 and 585.45

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Solution

The fourth proportional to 1,559.28, 2,339.37 and 585.45 is: 878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.28 : 2,339.37 = 585.45 : x
  2. Step 2: Convert to fraction form
    1,559.28/2,339.37 = 585.45/x
  3. Step 3: Cross multiply
    1,559.28x = 2,339.37 × 585.45
  4. Step 4: Simplify right side
    1,559.28x = 1,369,584.17
  5. Step 5: Solve for x
    x = 1,369,584.17/1,559.28
  6. Step 6: Final answer
    x = 878.34

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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.