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Finding the Fourth Proportional to 1,318.69, 1,976.66 and 588.78

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Solution

The fourth proportional to 1,318.69, 1,976.66 and 588.78 is: 882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.69 : 1,976.66 = 588.78 : x
  2. Step 2: Convert to fraction form
    1,318.69/1,976.66 = 588.78/x
  3. Step 3: Cross multiply
    1,318.69x = 1,976.66 × 588.78
  4. Step 4: Simplify right side
    1,318.69x = 1,163,817.87
  5. Step 5: Solve for x
    x = 1,163,817.87/1,318.69
  6. Step 6: Final answer
    x = 882.56

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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.