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Finding the Fourth Proportional to 798.36, 1,100.38 and 640.69

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Solution

The fourth proportional to 798.36, 1,100.38 and 640.69 is: 883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.36 : 1,100.38 = 640.69 : x
  2. Step 2: Convert to fraction form
    798.36/1,100.38 = 640.69/x
  3. Step 3: Cross multiply
    798.36x = 1,100.38 × 640.69
  4. Step 4: Simplify right side
    798.36x = 705,002.46
  5. Step 5: Solve for x
    x = 705,002.46/798.36
  6. Step 6: Final answer
    x = 883.06

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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.