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Finding the Fourth Proportional to 984.52, 1,359.05 and 591.47

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Solution

The fourth proportional to 984.52, 1,359.05 and 591.47 is: 816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.52 : 1,359.05 = 591.47 : x
  2. Step 2: Convert to fraction form
    984.52/1,359.05 = 591.47/x
  3. Step 3: Cross multiply
    984.52x = 1,359.05 × 591.47
  4. Step 4: Simplify right side
    984.52x = 803,832.65
  5. Step 5: Solve for x
    x = 803,832.65/984.52
  6. Step 6: Final answer
    x = 816.47

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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.