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Finding the Fourth Proportional to 984.64, 1,359.04 and 591.38

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Solution

The fourth proportional to 984.64, 1,359.04 and 591.38 is: 816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.64 : 1,359.04 = 591.38 : x
  2. Step 2: Convert to fraction form
    984.64/1,359.04 = 591.38/x
  3. Step 3: Cross multiply
    984.64x = 1,359.04 × 591.38
  4. Step 4: Simplify right side
    984.64x = 803,709.08
  5. Step 5: Solve for x
    x = 803,709.08/984.64
  6. Step 6: Final answer
    x = 816.25

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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.