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Finding the Fourth Proportional to 1,559.57, 2,339.37 and 405.32

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Solution

The fourth proportional to 1,559.57, 2,339.37 and 405.32 is: 607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.57 : 2,339.37 = 405.32 : x
  2. Step 2: Convert to fraction form
    1,559.57/2,339.37 = 405.32/x
  3. Step 3: Cross multiply
    1,559.57x = 2,339.37 × 405.32
  4. Step 4: Simplify right side
    1,559.57x = 948,196.05
  5. Step 5: Solve for x
    x = 948,196.05/1,559.57
  6. Step 6: Final answer
    x = 607.99

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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.