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Finding the Fourth Proportional to 1,318.30, 1,817.76 and 898.90

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Solution

The fourth proportional to 1,318.30, 1,817.76 and 898.90 is: 1,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.30 : 1,817.76 = 898.90 : x
  2. Step 2: Convert to fraction form
    1,318.30/1,817.76 = 898.90/x
  3. Step 3: Cross multiply
    1,318.30x = 1,817.76 × 898.90
  4. Step 4: Simplify right side
    1,318.30x = 1,633,983.29
  5. Step 5: Solve for x
    x = 1,633,983.29/1,318.30
  6. Step 6: Final answer
    x = 1,239.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.