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Finding the Fourth Proportional to 633.74, 874.43 and 613.02

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Solution

The fourth proportional to 633.74, 874.43 and 613.02 is: 845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.74 : 874.43 = 613.02 : x
  2. Step 2: Convert to fraction form
    633.74/874.43 = 613.02/x
  3. Step 3: Cross multiply
    633.74x = 874.43 × 613.02
  4. Step 4: Simplify right side
    633.74x = 536,043.08
  5. Step 5: Solve for x
    x = 536,043.08/633.74
  6. Step 6: Final answer
    x = 845.84

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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.