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Finding the Fourth Proportional to 980.91, 1,470.02 and 460.67

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Solution

The fourth proportional to 980.91, 1,470.02 and 460.67 is: 690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.91 : 1,470.02 = 460.67 : x
  2. Step 2: Convert to fraction form
    980.91/1,470.02 = 460.67/x
  3. Step 3: Cross multiply
    980.91x = 1,470.02 × 460.67
  4. Step 4: Simplify right side
    980.91x = 677,184.46
  5. Step 5: Solve for x
    x = 677,184.46/980.91
  6. Step 6: Final answer
    x = 690.36

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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.