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Finding the Fourth Proportional to 730.80, 1,008.50 and 399.23

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Solution

The fourth proportional to 730.80, 1,008.50 and 399.23 is: 550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.80 : 1,008.50 = 399.23 : x
  2. Step 2: Convert to fraction form
    730.80/1,008.50 = 399.23/x
  3. Step 3: Cross multiply
    730.80x = 1,008.50 × 399.23
  4. Step 4: Simplify right side
    730.80x = 402,616.42
  5. Step 5: Solve for x
    x = 402,616.42/730.80
  6. Step 6: Final answer
    x = 550.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.