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Finding the Fourth Proportional to 983.25, 1,356.89 and 590.28

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Solution

The fourth proportional to 983.25, 1,356.89 and 590.28 is: 814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.25 : 1,356.89 = 590.28 : x
  2. Step 2: Convert to fraction form
    983.25/1,356.89 = 590.28/x
  3. Step 3: Cross multiply
    983.25x = 1,356.89 × 590.28
  4. Step 4: Simplify right side
    983.25x = 800,936.99
  5. Step 5: Solve for x
    x = 800,936.99/983.25
  6. Step 6: Final answer
    x = 814.58

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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.