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Finding the Fourth Proportional to 680.99, 1,020.49 and 403.06

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Solution

The fourth proportional to 680.99, 1,020.49 and 403.06 is: 604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.99 : 1,020.49 = 403.06 : x
  2. Step 2: Convert to fraction form
    680.99/1,020.49 = 403.06/x
  3. Step 3: Cross multiply
    680.99x = 1,020.49 × 403.06
  4. Step 4: Simplify right side
    680.99x = 411,316.68
  5. Step 5: Solve for x
    x = 411,316.68/680.99
  6. Step 6: Final answer
    x = 604.00

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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.