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Finding the Fourth Proportional to 3,303.54, 4,954.55 and 963.03

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Solution

The fourth proportional to 3,303.54, 4,954.55 and 963.03 is: 1,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.54 : 4,954.55 = 963.03 : x
  2. Step 2: Convert to fraction form
    3,303.54/4,954.55 = 963.03/x
  3. Step 3: Cross multiply
    3,303.54x = 4,954.55 × 963.03
  4. Step 4: Simplify right side
    3,303.54x = 4,771,375.47
  5. Step 5: Solve for x
    x = 4,771,375.47/3,303.54
  6. Step 6: Final answer
    x = 1,444.32

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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.