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Finding the Fourth Proportional to 965.33, 1,447.35 and 780.46

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Solution

The fourth proportional to 965.33, 1,447.35 and 780.46 is: 1,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.33 : 1,447.35 = 780.46 : x
  2. Step 2: Convert to fraction form
    965.33/1,447.35 = 780.46/x
  3. Step 3: Cross multiply
    965.33x = 1,447.35 × 780.46
  4. Step 4: Simplify right side
    965.33x = 1,129,592.24
  5. Step 5: Solve for x
    x = 1,129,592.24/965.33
  6. Step 6: Final answer
    x = 1,170.16

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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.