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Finding the Fourth Proportional to 3,303.38, 4,955.12 and 963.39

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Solution

The fourth proportional to 3,303.38, 4,955.12 and 963.39 is: 1,445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.38 : 4,955.12 = 963.39 : x
  2. Step 2: Convert to fraction form
    3,303.38/4,955.12 = 963.39/x
  3. Step 3: Cross multiply
    3,303.38x = 4,955.12 × 963.39
  4. Step 4: Simplify right side
    3,303.38x = 4,773,735.85
  5. Step 5: Solve for x
    x = 4,773,735.85/3,303.38
  6. Step 6: Final answer
    x = 1,445.11

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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.