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Finding the Fourth Proportional to 963.17, 1,443.65 and 469.83

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Solution

The fourth proportional to 963.17, 1,443.65 and 469.83 is: 704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.17 : 1,443.65 = 469.83 : x
  2. Step 2: Convert to fraction form
    963.17/1,443.65 = 469.83/x
  3. Step 3: Cross multiply
    963.17x = 1,443.65 × 469.83
  4. Step 4: Simplify right side
    963.17x = 678,267.73
  5. Step 5: Solve for x
    x = 678,267.73/963.17
  6. Step 6: Final answer
    x = 704.21

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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.