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Finding the Fourth Proportional to 960.04, 1,438.68 and 548.32

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Solution

The fourth proportional to 960.04, 1,438.68 and 548.32 is: 821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.04 : 1,438.68 = 548.32 : x
  2. Step 2: Convert to fraction form
    960.04/1,438.68 = 548.32/x
  3. Step 3: Cross multiply
    960.04x = 1,438.68 × 548.32
  4. Step 4: Simplify right side
    960.04x = 788,857.02
  5. Step 5: Solve for x
    x = 788,857.02/960.04
  6. Step 6: Final answer
    x = 821.69

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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.