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Finding the Fourth Proportional to 980.66, 1,470.99 and 403.13

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Solution

The fourth proportional to 980.66, 1,470.99 and 403.13 is: 604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.66 : 1,470.99 = 403.13 : x
  2. Step 2: Convert to fraction form
    980.66/1,470.99 = 403.13/x
  3. Step 3: Cross multiply
    980.66x = 1,470.99 × 403.13
  4. Step 4: Simplify right side
    980.66x = 592,992.84
  5. Step 5: Solve for x
    x = 592,992.84/980.66
  6. Step 6: Final answer
    x = 604.69

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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.