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Finding the Fourth Proportional to 960.14, 1,323.32 and 738.60

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Solution

The fourth proportional to 960.14, 1,323.32 and 738.60 is: 1,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.14 : 1,323.32 = 738.60 : x
  2. Step 2: Convert to fraction form
    960.14/1,323.32 = 738.60/x
  3. Step 3: Cross multiply
    960.14x = 1,323.32 × 738.60
  4. Step 4: Simplify right side
    960.14x = 977,404.15
  5. Step 5: Solve for x
    x = 977,404.15/960.14
  6. Step 6: Final answer
    x = 1,017.98

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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.