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Finding the Fourth Proportional to 1,359.14, 2,038.74 and 589.64

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Solution

The fourth proportional to 1,359.14, 2,038.74 and 589.64 is: 884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.14 : 2,038.74 = 589.64 : x
  2. Step 2: Convert to fraction form
    1,359.14/2,038.74 = 589.64/x
  3. Step 3: Cross multiply
    1,359.14x = 2,038.74 × 589.64
  4. Step 4: Simplify right side
    1,359.14x = 1,202,122.65
  5. Step 5: Solve for x
    x = 1,202,122.65/1,359.14
  6. Step 6: Final answer
    x = 884.47

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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.