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Finding the Fourth Proportional to 795.42, 1,097.64 and 446.22

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Solution

The fourth proportional to 795.42, 1,097.64 and 446.22 is: 615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.42 : 1,097.64 = 446.22 : x
  2. Step 2: Convert to fraction form
    795.42/1,097.64 = 446.22/x
  3. Step 3: Cross multiply
    795.42x = 1,097.64 × 446.22
  4. Step 4: Simplify right side
    795.42x = 489,788.92
  5. Step 5: Solve for x
    x = 489,788.92/795.42
  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.