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Finding the Fourth Proportional to 3,304.34, 4,955.36 and 963.70

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Solution

The fourth proportional to 3,304.34, 4,955.36 and 963.70 is: 1,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.34 : 4,955.36 = 963.70 : x
  2. Step 2: Convert to fraction form
    3,304.34/4,955.36 = 963.70/x
  3. Step 3: Cross multiply
    3,304.34x = 4,955.36 × 963.70
  4. Step 4: Simplify right side
    3,304.34x = 4,775,480.43
  5. Step 5: Solve for x
    x = 4,775,480.43/3,304.34
  6. Step 6: Final answer
    x = 1,445.21

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1.5x scale

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.