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Finding the Fourth Proportional to 980.59, 1,470.89 and 403.06

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Solution

The fourth proportional to 980.59, 1,470.89 and 403.06 is: 604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.59 : 1,470.89 = 403.06 : x
  2. Step 2: Convert to fraction form
    980.59/1,470.89 = 403.06/x
  3. Step 3: Cross multiply
    980.59x = 1,470.89 × 403.06
  4. Step 4: Simplify right side
    980.59x = 592,856.92
  5. Step 5: Solve for x
    x = 592,856.92/980.59
  6. Step 6: Final answer
    x = 604.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.