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Finding the Fourth Proportional to 982.86, 1,356.40 and 590.22

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Solution

The fourth proportional to 982.86, 1,356.40 and 590.22 is: 814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.86 : 1,356.40 = 590.22 : x
  2. Step 2: Convert to fraction form
    982.86/1,356.40 = 590.22/x
  3. Step 3: Cross multiply
    982.86x = 1,356.40 × 590.22
  4. Step 4: Simplify right side
    982.86x = 800,574.41
  5. Step 5: Solve for x
    x = 800,574.41/982.86
  6. Step 6: Final answer
    x = 814.54

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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.