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Finding the Fourth Proportional to 798.43, 1,101.78 and 444.40

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Solution

The fourth proportional to 798.43, 1,101.78 and 444.40 is: 613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.43 : 1,101.78 = 444.40 : x
  2. Step 2: Convert to fraction form
    798.43/1,101.78 = 444.40/x
  3. Step 3: Cross multiply
    798.43x = 1,101.78 × 444.40
  4. Step 4: Simplify right side
    798.43x = 489,631.03
  5. Step 5: Solve for x
    x = 489,631.03/798.43
  6. Step 6: Final answer
    x = 613.24

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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.