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Finding the Fourth Proportional to 963.59, 1,445.06 and 415.62

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Solution

The fourth proportional to 963.59, 1,445.06 and 415.62 is: 623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.59 : 1,445.06 = 415.62 : x
  2. Step 2: Convert to fraction form
    963.59/1,445.06 = 415.62/x
  3. Step 3: Cross multiply
    963.59x = 1,445.06 × 415.62
  4. Step 4: Simplify right side
    963.59x = 600,593.76
  5. Step 5: Solve for x
    x = 600,593.76/963.59
  6. Step 6: Final answer
    x = 623.29

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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.