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Finding the Fourth Proportional to 962.43, 1,444.05 and 550.95

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Solution

The fourth proportional to 962.43, 1,444.05 and 550.95 is: 826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.43 : 1,444.05 = 550.95 : x
  2. Step 2: Convert to fraction form
    962.43/1,444.05 = 550.95/x
  3. Step 3: Cross multiply
    962.43x = 1,444.05 × 550.95
  4. Step 4: Simplify right side
    962.43x = 795,599.35
  5. Step 5: Solve for x
    x = 795,599.35/962.43
  6. Step 6: Final answer
    x = 826.66

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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.