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Finding the Fourth Proportional to 1,003.54, 1,505.11 and 633.18

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Solution

The fourth proportional to 1,003.54, 1,505.11 and 633.18 is: 949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.54 : 1,505.11 = 633.18 : x
  2. Step 2: Convert to fraction form
    1,003.54/1,505.11 = 633.18/x
  3. Step 3: Cross multiply
    1,003.54x = 1,505.11 × 633.18
  4. Step 4: Simplify right side
    1,003.54x = 953,005.55
  5. Step 5: Solve for x
    x = 953,005.55/1,003.54
  6. Step 6: Final answer
    x = 949.64

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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.