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Finding the Fourth Proportional to 795.43, 1,097.70 and 446.20

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Solution

The fourth proportional to 795.43, 1,097.70 and 446.20 is: 615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.43 : 1,097.70 = 446.20 : x
  2. Step 2: Convert to fraction form
    795.43/1,097.70 = 446.20/x
  3. Step 3: Cross multiply
    795.43x = 1,097.70 × 446.20
  4. Step 4: Simplify right side
    795.43x = 489,793.74
  5. Step 5: Solve for x
    x = 489,793.74/795.43
  6. Step 6: Final answer
    x = 615.76

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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.