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Finding the Fourth Proportional to 795.65, 1,097.99 and 446.33

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Solution

The fourth proportional to 795.65, 1,097.99 and 446.33 is: 615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.65 : 1,097.99 = 446.33 : x
  2. Step 2: Convert to fraction form
    795.65/1,097.99 = 446.33/x
  3. Step 3: Cross multiply
    795.65x = 1,097.99 × 446.33
  4. Step 4: Simplify right side
    795.65x = 490,063.65
  5. Step 5: Solve for x
    x = 490,063.65/795.65
  6. Step 6: Final answer
    x = 615.93

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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.