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Finding the Fourth Proportional to 1,318.64, 1,976.59 and 538.30

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Solution

The fourth proportional to 1,318.64, 1,976.59 and 538.30 is: 806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.64 : 1,976.59 = 538.30 : x
  2. Step 2: Convert to fraction form
    1,318.64/1,976.59 = 538.30/x
  3. Step 3: Cross multiply
    1,318.64x = 1,976.59 × 538.30
  4. Step 4: Simplify right side
    1,318.64x = 1,063,998.40
  5. Step 5: Solve for x
    x = 1,063,998.40/1,318.64
  6. Step 6: Final answer
    x = 806.89

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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.