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Finding the Fourth Proportional to 980.48, 1,353.04 and 582.08

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Solution

The fourth proportional to 980.48, 1,353.04 and 582.08 is: 803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.48 : 1,353.04 = 582.08 : x
  2. Step 2: Convert to fraction form
    980.48/1,353.04 = 582.08/x
  3. Step 3: Cross multiply
    980.48x = 1,353.04 × 582.08
  4. Step 4: Simplify right side
    980.48x = 787,577.52
  5. Step 5: Solve for x
    x = 787,577.52/980.48
  6. Step 6: Final answer
    x = 803.26

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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.