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Finding the Fourth Proportional to 795.48, 1,097.78 and 446.19

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Solution

The fourth proportional to 795.48, 1,097.78 and 446.19 is: 615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.48 : 1,097.78 = 446.19 : x
  2. Step 2: Convert to fraction form
    795.48/1,097.78 = 446.19/x
  3. Step 3: Cross multiply
    795.48x = 1,097.78 × 446.19
  4. Step 4: Simplify right side
    795.48x = 489,818.46
  5. Step 5: Solve for x
    x = 489,818.46/795.48
  6. Step 6: Final answer
    x = 615.75

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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.