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Finding the Fourth Proportional to 728.69, 1,006.00 and 480.43

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Solution

The fourth proportional to 728.69, 1,006.00 and 480.43 is: 663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.69 : 1,006.00 = 480.43 : x
  2. Step 2: Convert to fraction form
    728.69/1,006.00 = 480.43/x
  3. Step 3: Cross multiply
    728.69x = 1,006.00 × 480.43
  4. Step 4: Simplify right side
    728.69x = 483,308.86
  5. Step 5: Solve for x
    x = 483,308.86/728.69
  6. Step 6: Final answer
    x = 663.25

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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.