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Finding the Fourth Proportional to 795.55, 1,097.83 and 446.23

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Solution

The fourth proportional to 795.55, 1,097.83 and 446.23 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.55 : 1,097.83 = 446.23 : x
  2. Step 2: Convert to fraction form
    795.55/1,097.83 = 446.23/x
  3. Step 3: Cross multiply
    795.55x = 1,097.83 × 446.23
  4. Step 4: Simplify right side
    795.55x = 489,882.45
  5. Step 5: Solve for x
    x = 489,882.45/795.55
  6. Step 6: Final answer
    x = 615.78

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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.