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Finding the Fourth Proportional to 862.78, 1,190.64 and 469.84

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Solution

The fourth proportional to 862.78, 1,190.64 and 469.84 is: 648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.78 : 1,190.64 = 469.84 : x
  2. Step 2: Convert to fraction form
    862.78/1,190.64 = 469.84/x
  3. Step 3: Cross multiply
    862.78x = 1,190.64 × 469.84
  4. Step 4: Simplify right side
    862.78x = 559,410.30
  5. Step 5: Solve for x
    x = 559,410.30/862.78
  6. Step 6: Final answer
    x = 648.38

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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.