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Finding the Fourth Proportional to 730.40, 1,007.96 and 398.84

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Solution

The fourth proportional to 730.40, 1,007.96 and 398.84 is: 550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.40 : 1,007.96 = 398.84 : x
  2. Step 2: Convert to fraction form
    730.40/1,007.96 = 398.84/x
  3. Step 3: Cross multiply
    730.40x = 1,007.96 × 398.84
  4. Step 4: Simplify right side
    730.40x = 402,009.73
  5. Step 5: Solve for x
    x = 402,009.73/730.40
  6. Step 6: Final answer
    x = 550.40

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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.