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Finding the Fourth Proportional to 797.23, 1,100.14 and 465.64

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Solution

The fourth proportional to 797.23, 1,100.14 and 465.64 is: 642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.23 : 1,100.14 = 465.64 : x
  2. Step 2: Convert to fraction form
    797.23/1,100.14 = 465.64/x
  3. Step 3: Cross multiply
    797.23x = 1,100.14 × 465.64
  4. Step 4: Simplify right side
    797.23x = 512,269.19
  5. Step 5: Solve for x
    x = 512,269.19/797.23
  6. Step 6: Final answer
    x = 642.56

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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.