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Finding the Fourth Proportional to 963.82, 1,445.96 and 415.70

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Solution

The fourth proportional to 963.82, 1,445.96 and 415.70 is: 623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.82 : 1,445.96 = 415.70 : x
  2. Step 2: Convert to fraction form
    963.82/1,445.96 = 415.70/x
  3. Step 3: Cross multiply
    963.82x = 1,445.96 × 415.70
  4. Step 4: Simplify right side
    963.82x = 601,085.57
  5. Step 5: Solve for x
    x = 601,085.57/963.82
  6. Step 6: Final answer
    x = 623.65

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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.