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Finding the Fourth Proportional to 960.68, 1,441.58 and 632.03

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Solution

The fourth proportional to 960.68, 1,441.58 and 632.03 is: 948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.68 : 1,441.58 = 632.03 : x
  2. Step 2: Convert to fraction form
    960.68/1,441.58 = 632.03/x
  3. Step 3: Cross multiply
    960.68x = 1,441.58 × 632.03
  4. Step 4: Simplify right side
    960.68x = 911,114.60
  5. Step 5: Solve for x
    x = 911,114.60/960.68
  6. Step 6: Final answer
    x = 948.41

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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.