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Finding the Fourth Proportional to 2,955.44, 4,433.12 and 763.98

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Solution

The fourth proportional to 2,955.44, 4,433.12 and 763.98 is: 1,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.44 : 4,433.12 = 763.98 : x
  2. Step 2: Convert to fraction form
    2,955.44/4,433.12 = 763.98/x
  3. Step 3: Cross multiply
    2,955.44x = 4,433.12 × 763.98
  4. Step 4: Simplify right side
    2,955.44x = 3,386,815.02
  5. Step 5: Solve for x
    x = 3,386,815.02/2,955.44
  6. Step 6: Final answer
    x = 1,145.96

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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.