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Finding the Fourth Proportional to 980.69, 1,353.14 and 582.15

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Solution

The fourth proportional to 980.69, 1,353.14 and 582.15 is: 803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.69 : 1,353.14 = 582.15 : x
  2. Step 2: Convert to fraction form
    980.69/1,353.14 = 582.15/x
  3. Step 3: Cross multiply
    980.69x = 1,353.14 × 582.15
  4. Step 4: Simplify right side
    980.69x = 787,727.54
  5. Step 5: Solve for x
    x = 787,727.54/980.69
  6. Step 6: Final answer
    x = 803.24

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Why These Related Problems?

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