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Finding the Fourth Proportional to 862.61, 1,190.41 and 469.64

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Solution

The fourth proportional to 862.61, 1,190.41 and 469.64 is: 648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.61 : 1,190.41 = 469.64 : x
  2. Step 2: Convert to fraction form
    862.61/1,190.41 = 469.64/x
  3. Step 3: Cross multiply
    862.61x = 1,190.41 × 469.64
  4. Step 4: Simplify right side
    862.61x = 559,065.95
  5. Step 5: Solve for x
    x = 559,065.95/862.61
  6. Step 6: Final answer
    x = 648.11

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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.