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Finding the Fourth Proportional to 963.34, 1,443.86 and 442.90

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Solution

The fourth proportional to 963.34, 1,443.86 and 442.90 is: 663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.34 : 1,443.86 = 442.90 : x
  2. Step 2: Convert to fraction form
    963.34/1,443.86 = 442.90/x
  3. Step 3: Cross multiply
    963.34x = 1,443.86 × 442.90
  4. Step 4: Simplify right side
    963.34x = 639,485.59
  5. Step 5: Solve for x
    x = 639,485.59/963.34
  6. Step 6: Final answer
    x = 663.82

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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.