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Finding the Fourth Proportional to 983.34, 1,357.05 and 590.34

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Solution

The fourth proportional to 983.34, 1,357.05 and 590.34 is: 814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.34 : 1,357.05 = 590.34 : x
  2. Step 2: Convert to fraction form
    983.34/1,357.05 = 590.34/x
  3. Step 3: Cross multiply
    983.34x = 1,357.05 × 590.34
  4. Step 4: Simplify right side
    983.34x = 801,120.90
  5. Step 5: Solve for x
    x = 801,120.90/983.34
  6. Step 6: Final answer
    x = 814.69

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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.