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Finding the Fourth Proportional to 1,320.18, 1,980.27 and 589.56

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Solution

The fourth proportional to 1,320.18, 1,980.27 and 589.56 is: 884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.18 : 1,980.27 = 589.56 : x
  2. Step 2: Convert to fraction form
    1,320.18/1,980.27 = 589.56/x
  3. Step 3: Cross multiply
    1,320.18x = 1,980.27 × 589.56
  4. Step 4: Simplify right side
    1,320.18x = 1,167,487.98
  5. Step 5: Solve for x
    x = 1,167,487.98/1,320.18
  6. Step 6: Final answer
    x = 884.34

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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.