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Finding the Fourth Proportional to 963.77, 1,329.46 and 609.58

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Solution

The fourth proportional to 963.77, 1,329.46 and 609.58 is: 840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.77 : 1,329.46 = 609.58 : x
  2. Step 2: Convert to fraction form
    963.77/1,329.46 = 609.58/x
  3. Step 3: Cross multiply
    963.77x = 1,329.46 × 609.58
  4. Step 4: Simplify right side
    963.77x = 810,415.55
  5. Step 5: Solve for x
    x = 810,415.55/963.77
  6. Step 6: Final answer
    x = 840.88

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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.