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Finding the Fourth Proportional to 679.99, 1,018.05 and 448.18

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Solution

The fourth proportional to 679.99, 1,018.05 and 448.18 is: 670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.99 : 1,018.05 = 448.18 : x
  2. Step 2: Convert to fraction form
    679.99/1,018.05 = 448.18/x
  3. Step 3: Cross multiply
    679.99x = 1,018.05 × 448.18
  4. Step 4: Simplify right side
    679.99x = 456,269.65
  5. Step 5: Solve for x
    x = 456,269.65/679.99
  6. Step 6: Final answer
    x = 670.99

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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.