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Finding the Fourth Proportional to 963.78, 1,445.82 and 444.29

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Solution

The fourth proportional to 963.78, 1,445.82 and 444.29 is: 666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.78 : 1,445.82 = 444.29 : x
  2. Step 2: Convert to fraction form
    963.78/1,445.82 = 444.29/x
  3. Step 3: Cross multiply
    963.78x = 1,445.82 × 444.29
  4. Step 4: Simplify right side
    963.78x = 642,356.14
  5. Step 5: Solve for x
    x = 642,356.14/963.78
  6. Step 6: Final answer
    x = 666.50

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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.