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Finding the Fourth Proportional to 795.49, 1,097.79 and 446.17

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Solution

The fourth proportional to 795.49, 1,097.79 and 446.17 is: 615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.49 : 1,097.79 = 446.17 : x
  2. Step 2: Convert to fraction form
    795.49/1,097.79 = 446.17/x
  3. Step 3: Cross multiply
    795.49x = 1,097.79 × 446.17
  4. Step 4: Simplify right side
    795.49x = 489,800.96
  5. Step 5: Solve for x
    x = 489,800.96/795.49
  6. Step 6: Final answer
    x = 615.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.