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Finding the Fourth Proportional to 983.24, 1,356.96 and 590.48

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Solution

The fourth proportional to 983.24, 1,356.96 and 590.48 is: 814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.24 : 1,356.96 = 590.48 : x
  2. Step 2: Convert to fraction form
    983.24/1,356.96 = 590.48/x
  3. Step 3: Cross multiply
    983.24x = 1,356.96 × 590.48
  4. Step 4: Simplify right side
    983.24x = 801,257.74
  5. Step 5: Solve for x
    x = 801,257.74/983.24
  6. Step 6: Final answer
    x = 814.92

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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.