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Finding the Fourth Proportional to 605.64, 834.12 and 603.84

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Solution

The fourth proportional to 605.64, 834.12 and 603.84 is: 831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.64 : 834.12 = 603.84 : x
  2. Step 2: Convert to fraction form
    605.64/834.12 = 603.84/x
  3. Step 3: Cross multiply
    605.64x = 834.12 × 603.84
  4. Step 4: Simplify right side
    605.64x = 503,675.02
  5. Step 5: Solve for x
    x = 503,675.02/605.64
  6. Step 6: Final answer
    x = 831.64

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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.