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Finding the Fourth Proportional to 980.62, 1,470.03 and 424.98

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Solution

The fourth proportional to 980.62, 1,470.03 and 424.98 is: 637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.62 : 1,470.03 = 424.98 : x
  2. Step 2: Convert to fraction form
    980.62/1,470.03 = 424.98/x
  3. Step 3: Cross multiply
    980.62x = 1,470.03 × 424.98
  4. Step 4: Simplify right side
    980.62x = 624,733.35
  5. Step 5: Solve for x
    x = 624,733.35/980.62
  6. Step 6: Final answer
    x = 637.08

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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.