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Finding the Fourth Proportional to 983.05, 1,356.56 and 590.29

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Solution

The fourth proportional to 983.05, 1,356.56 and 590.29 is: 814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.05 : 1,356.56 = 590.29 : x
  2. Step 2: Convert to fraction form
    983.05/1,356.56 = 590.29/x
  3. Step 3: Cross multiply
    983.05x = 1,356.56 × 590.29
  4. Step 4: Simplify right side
    983.05x = 800,763.80
  5. Step 5: Solve for x
    x = 800,763.80/983.05
  6. Step 6: Final answer
    x = 814.57

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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.