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Finding the Fourth Proportional to 689.99, 1,034.99 and 485.48

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Solution

The fourth proportional to 689.99, 1,034.99 and 485.48 is: 728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.99 : 1,034.99 = 485.48 : x
  2. Step 2: Convert to fraction form
    689.99/1,034.99 = 485.48/x
  3. Step 3: Cross multiply
    689.99x = 1,034.99 × 485.48
  4. Step 4: Simplify right side
    689.99x = 502,460.56
  5. Step 5: Solve for x
    x = 502,460.56/689.99
  6. Step 6: Final answer
    x = 728.21

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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.