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Finding the Fourth Proportional to 963.60, 1,329.35 and 609.36

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Solution

The fourth proportional to 963.60, 1,329.35 and 609.36 is: 840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.60 : 1,329.35 = 609.36 : x
  2. Step 2: Convert to fraction form
    963.60/1,329.35 = 609.36/x
  3. Step 3: Cross multiply
    963.60x = 1,329.35 × 609.36
  4. Step 4: Simplify right side
    963.60x = 810,049.67
  5. Step 5: Solve for x
    x = 810,049.67/963.60
  6. Step 6: Final answer
    x = 840.65

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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.