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Finding the Fourth Proportional to 983.02, 1,356.69 and 590.26

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Solution

The fourth proportional to 983.02, 1,356.69 and 590.26 is: 814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.02 : 1,356.69 = 590.26 : x
  2. Step 2: Convert to fraction form
    983.02/1,356.69 = 590.26/x
  3. Step 3: Cross multiply
    983.02x = 1,356.69 × 590.26
  4. Step 4: Simplify right side
    983.02x = 800,799.84
  5. Step 5: Solve for x
    x = 800,799.84/983.02
  6. Step 6: Final answer
    x = 814.63

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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.