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Finding the Fourth Proportional to 794.40, 1,096.35 and 491.61

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Solution

The fourth proportional to 794.40, 1,096.35 and 491.61 is: 678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.40 : 1,096.35 = 491.61 : x
  2. Step 2: Convert to fraction form
    794.40/1,096.35 = 491.61/x
  3. Step 3: Cross multiply
    794.40x = 1,096.35 × 491.61
  4. Step 4: Simplify right side
    794.40x = 538,976.62
  5. Step 5: Solve for x
    x = 538,976.62/794.40
  6. Step 6: Final answer
    x = 678.47

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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.