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Finding the Fourth Proportional to 979.88, 1,469.24 and 460.00

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Solution

The fourth proportional to 979.88, 1,469.24 and 460.00 is: 689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.88 : 1,469.24 = 460.00 : x
  2. Step 2: Convert to fraction form
    979.88/1,469.24 = 460.00/x
  3. Step 3: Cross multiply
    979.88x = 1,469.24 × 460.00
  4. Step 4: Simplify right side
    979.88x = 675,844.43
  5. Step 5: Solve for x
    x = 675,844.43/979.88
  6. Step 6: Final answer
    x = 689.72

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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.