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Finding the Fourth Proportional to 984.96, 1,358.94 and 591.90

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Solution

The fourth proportional to 984.96, 1,358.94 and 591.90 is: 816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.96 : 1,358.94 = 591.90 : x
  2. Step 2: Convert to fraction form
    984.96/1,358.94 = 591.90/x
  3. Step 3: Cross multiply
    984.96x = 1,358.94 × 591.90
  4. Step 4: Simplify right side
    984.96x = 804,356.59
  5. Step 5: Solve for x
    x = 804,356.59/984.96
  6. Step 6: Final answer
    x = 816.64

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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.