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Finding the Fourth Proportional to 963.16, 1,442.05 and 522.83

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Solution

The fourth proportional to 963.16, 1,442.05 and 522.83 is: 782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.16 : 1,442.05 = 522.83 : x
  2. Step 2: Convert to fraction form
    963.16/1,442.05 = 522.83/x
  3. Step 3: Cross multiply
    963.16x = 1,442.05 × 522.83
  4. Step 4: Simplify right side
    963.16x = 753,947.00
  5. Step 5: Solve for x
    x = 753,947.00/963.16
  6. Step 6: Final answer
    x = 782.78

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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.