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Finding the Fourth Proportional to 965.14, 1,329.89 and 743.40

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Solution

The fourth proportional to 965.14, 1,329.89 and 743.40 is: 1,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.14 : 1,329.89 = 743.40 : x
  2. Step 2: Convert to fraction form
    965.14/1,329.89 = 743.40/x
  3. Step 3: Cross multiply
    965.14x = 1,329.89 × 743.40
  4. Step 4: Simplify right side
    965.14x = 988,636.51
  5. Step 5: Solve for x
    x = 988,636.51/965.14
  6. Step 6: Final answer
    x = 1,024.35

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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.