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Finding the Fourth Proportional to 963.63, 1,445.45 and 415.13

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Solution

The fourth proportional to 963.63, 1,445.45 and 415.13 is: 622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.63 : 1,445.45 = 415.13 : x
  2. Step 2: Convert to fraction form
    963.63/1,445.45 = 415.13/x
  3. Step 3: Cross multiply
    963.63x = 1,445.45 × 415.13
  4. Step 4: Simplify right side
    963.63x = 600,040.36
  5. Step 5: Solve for x
    x = 600,040.36/963.63
  6. Step 6: Final answer
    x = 622.69

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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.