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Finding the Fourth Proportional to 797.46, 1,100.62 and 465.88

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Solution

The fourth proportional to 797.46, 1,100.62 and 465.88 is: 642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.46 : 1,100.62 = 465.88 : x
  2. Step 2: Convert to fraction form
    797.46/1,100.62 = 465.88/x
  3. Step 3: Cross multiply
    797.46x = 1,100.62 × 465.88
  4. Step 4: Simplify right side
    797.46x = 512,756.85
  5. Step 5: Solve for x
    x = 512,756.85/797.46
  6. Step 6: Final answer
    x = 642.99

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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.