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Finding the Fourth Proportional to 699.09, 1,048.10 and 333.65

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Solution

The fourth proportional to 699.09, 1,048.10 and 333.65 is: 500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.09 : 1,048.10 = 333.65 : x
  2. Step 2: Convert to fraction form
    699.09/1,048.10 = 333.65/x
  3. Step 3: Cross multiply
    699.09x = 1,048.10 × 333.65
  4. Step 4: Simplify right side
    699.09x = 349,691.66
  5. Step 5: Solve for x
    x = 349,691.66/699.09
  6. Step 6: Final answer
    x = 500.21

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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.