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Finding the Fourth Proportional to 983.79, 1,357.14 and 590.13

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Solution

The fourth proportional to 983.79, 1,357.14 and 590.13 is: 814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.79 : 1,357.14 = 590.13 : x
  2. Step 2: Convert to fraction form
    983.79/1,357.14 = 590.13/x
  3. Step 3: Cross multiply
    983.79x = 1,357.14 × 590.13
  4. Step 4: Simplify right side
    983.79x = 800,889.03
  5. Step 5: Solve for x
    x = 800,889.03/983.79
  6. Step 6: Final answer
    x = 814.09

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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.