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Finding the Fourth Proportional to 963.95, 1,328.92 and 609.69

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Solution

The fourth proportional to 963.95, 1,328.92 and 609.69 is: 840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.95 : 1,328.92 = 609.69 : x
  2. Step 2: Convert to fraction form
    963.95/1,328.92 = 609.69/x
  3. Step 3: Cross multiply
    963.95x = 1,328.92 × 609.69
  4. Step 4: Simplify right side
    963.95x = 810,236.12
  5. Step 5: Solve for x
    x = 810,236.12/963.95
  6. Step 6: Final answer
    x = 840.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.