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Finding the Fourth Proportional to 964.05, 1,445.67 and 415.95

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Solution

The fourth proportional to 964.05, 1,445.67 and 415.95 is: 623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.05 : 1,445.67 = 415.95 : x
  2. Step 2: Convert to fraction form
    964.05/1,445.67 = 415.95/x
  3. Step 3: Cross multiply
    964.05x = 1,445.67 × 415.95
  4. Step 4: Simplify right side
    964.05x = 601,326.44
  5. Step 5: Solve for x
    x = 601,326.44/964.05
  6. Step 6: Final answer
    x = 623.75

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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.