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Finding the Fourth Proportional to 984.26, 1,358.28 and 591.29

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Solution

The fourth proportional to 984.26, 1,358.28 and 591.29 is: 815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.26 : 1,358.28 = 591.29 : x
  2. Step 2: Convert to fraction form
    984.26/1,358.28 = 591.29/x
  3. Step 3: Cross multiply
    984.26x = 1,358.28 × 591.29
  4. Step 4: Simplify right side
    984.26x = 803,127.63
  5. Step 5: Solve for x
    x = 803,127.63/984.26
  6. Step 6: Final answer
    x = 815.98

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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.