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Finding the Fourth Proportional to 984.83, 1,359.47 and 591.89

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Solution

The fourth proportional to 984.83, 1,359.47 and 591.89 is: 817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.83 : 1,359.47 = 591.89 : x
  2. Step 2: Convert to fraction form
    984.83/1,359.47 = 591.89/x
  3. Step 3: Cross multiply
    984.83x = 1,359.47 × 591.89
  4. Step 4: Simplify right side
    984.83x = 804,651.38
  5. Step 5: Solve for x
    x = 804,651.38/984.83
  6. Step 6: Final answer
    x = 817.05

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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.