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Finding the Fourth Proportional to 980.58, 1,469.76 and 459.96

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Solution

The fourth proportional to 980.58, 1,469.76 and 459.96 is: 689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.58 : 1,469.76 = 459.96 : x
  2. Step 2: Convert to fraction form
    980.58/1,469.76 = 459.96/x
  3. Step 3: Cross multiply
    980.58x = 1,469.76 × 459.96
  4. Step 4: Simplify right side
    980.58x = 676,030.81
  5. Step 5: Solve for x
    x = 676,030.81/980.58
  6. Step 6: Final answer
    x = 689.42

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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.