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Finding the Fourth Proportional to 983.27, 1,356.92 and 590.30

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Solution

The fourth proportional to 983.27, 1,356.92 and 590.30 is: 814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.27 : 1,356.92 = 590.30 : x
  2. Step 2: Convert to fraction form
    983.27/1,356.92 = 590.30/x
  3. Step 3: Cross multiply
    983.27x = 1,356.92 × 590.30
  4. Step 4: Simplify right side
    983.27x = 800,980.14
  5. Step 5: Solve for x
    x = 800,980.14/983.27
  6. Step 6: Final answer
    x = 814.61

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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.