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Finding the Fourth Proportional to 965.94, 1,447.08 and 770.93

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Solution

The fourth proportional to 965.94, 1,447.08 and 770.93 is: 1,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.94 : 1,447.08 = 770.93 : x
  2. Step 2: Convert to fraction form
    965.94/1,447.08 = 770.93/x
  3. Step 3: Cross multiply
    965.94x = 1,447.08 × 770.93
  4. Step 4: Simplify right side
    965.94x = 1,115,592.68
  5. Step 5: Solve for x
    x = 1,115,592.68/965.94
  6. Step 6: Final answer
    x = 1,154.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.