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Finding the Fourth Proportional to 980.35, 1,470.38 and 542.41

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Solution

The fourth proportional to 980.35, 1,470.38 and 542.41 is: 813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.35 : 1,470.38 = 542.41 : x
  2. Step 2: Convert to fraction form
    980.35/1,470.38 = 542.41/x
  3. Step 3: Cross multiply
    980.35x = 1,470.38 × 542.41
  4. Step 4: Simplify right side
    980.35x = 797,548.82
  5. Step 5: Solve for x
    x = 797,548.82/980.35
  6. Step 6: Final answer
    x = 813.53

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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.