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Finding the Fourth Proportional to 794.74, 1,096.71 and 440.65

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Solution

The fourth proportional to 794.74, 1,096.71 and 440.65 is: 608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.74 : 1,096.71 = 440.65 : x
  2. Step 2: Convert to fraction form
    794.74/1,096.71 = 440.65/x
  3. Step 3: Cross multiply
    794.74x = 1,096.71 × 440.65
  4. Step 4: Simplify right side
    794.74x = 483,263.62
  5. Step 5: Solve for x
    x = 483,263.62/794.74
  6. Step 6: Final answer
    x = 608.08

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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.