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Finding the Fourth Proportional to 979.99, 1,469.56 and 460.14

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Solution

The fourth proportional to 979.99, 1,469.56 and 460.14 is: 690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.99 : 1,469.56 = 460.14 : x
  2. Step 2: Convert to fraction form
    979.99/1,469.56 = 460.14/x
  3. Step 3: Cross multiply
    979.99x = 1,469.56 × 460.14
  4. Step 4: Simplify right side
    979.99x = 676,199.73
  5. Step 5: Solve for x
    x = 676,199.73/979.99
  6. Step 6: Final answer
    x = 690.01

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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.