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Finding the Fourth Proportional to 601.41, 829.35 and 550.83

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Solution

The fourth proportional to 601.41, 829.35 and 550.83 is: 759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.41 : 829.35 = 550.83 : x
  2. Step 2: Convert to fraction form
    601.41/829.35 = 550.83/x
  3. Step 3: Cross multiply
    601.41x = 829.35 × 550.83
  4. Step 4: Simplify right side
    601.41x = 456,830.86
  5. Step 5: Solve for x
    x = 456,830.86/601.41
  6. Step 6: Final answer
    x = 759.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.