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Finding the Fourth Proportional to 963.81, 1,330.26 and 609.50

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Solution

The fourth proportional to 963.81, 1,330.26 and 609.50 is: 841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.81 : 1,330.26 = 609.50 : x
  2. Step 2: Convert to fraction form
    963.81/1,330.26 = 609.50/x
  3. Step 3: Cross multiply
    963.81x = 1,330.26 × 609.50
  4. Step 4: Simplify right side
    963.81x = 810,793.47
  5. Step 5: Solve for x
    x = 810,793.47/963.81
  6. Step 6: Final answer
    x = 841.24

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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.