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Finding the Fourth Proportional to 978.82, 1,350.80 and 580.69

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Solution

The fourth proportional to 978.82, 1,350.80 and 580.69 is: 801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.82 : 1,350.80 = 580.69 : x
  2. Step 2: Convert to fraction form
    978.82/1,350.80 = 580.69/x
  3. Step 3: Cross multiply
    978.82x = 1,350.80 × 580.69
  4. Step 4: Simplify right side
    978.82x = 784,393.98
  5. Step 5: Solve for x
    x = 784,393.98/978.82
  6. Step 6: Final answer
    x = 801.37

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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.