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Finding the Fourth Proportional to 3,303.01, 4,955.28 and 963.06

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Solution

The fourth proportional to 3,303.01, 4,955.28 and 963.06 is: 1,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.01 : 4,955.28 = 963.06 : x
  2. Step 2: Convert to fraction form
    3,303.01/4,955.28 = 963.06/x
  3. Step 3: Cross multiply
    3,303.01x = 4,955.28 × 963.06
  4. Step 4: Simplify right side
    3,303.01x = 4,772,231.96
  5. Step 5: Solve for x
    x = 4,772,231.96/3,303.01
  6. Step 6: Final answer
    x = 1,444.81

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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.