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Finding the Fourth Proportional to 797.14, 1,099.96 and 465.54

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Solution

The fourth proportional to 797.14, 1,099.96 and 465.54 is: 642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.14 : 1,099.96 = 465.54 : x
  2. Step 2: Convert to fraction form
    797.14/1,099.96 = 465.54/x
  3. Step 3: Cross multiply
    797.14x = 1,099.96 × 465.54
  4. Step 4: Simplify right side
    797.14x = 512,075.38
  5. Step 5: Solve for x
    x = 512,075.38/797.14
  6. Step 6: Final answer
    x = 642.39

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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.