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Finding the Fourth Proportional to 797.33, 1,100.43 and 465.77

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Solution

The fourth proportional to 797.33, 1,100.43 and 465.77 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.33 : 1,100.43 = 465.77 : x
  2. Step 2: Convert to fraction form
    797.33/1,100.43 = 465.77/x
  3. Step 3: Cross multiply
    797.33x = 1,100.43 × 465.77
  4. Step 4: Simplify right side
    797.33x = 512,541.78
  5. Step 5: Solve for x
    x = 512,541.78/797.33
  6. Step 6: Final answer
    x = 642.83

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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.