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Finding the Fourth Proportional to 983.40, 1,357.24 and 590.44

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Solution

The fourth proportional to 983.40, 1,357.24 and 590.44 is: 814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.40 : 1,357.24 = 590.44 : x
  2. Step 2: Convert to fraction form
    983.40/1,357.24 = 590.44/x
  3. Step 3: Cross multiply
    983.40x = 1,357.24 × 590.44
  4. Step 4: Simplify right side
    983.40x = 801,368.79
  5. Step 5: Solve for x
    x = 801,368.79/983.40
  6. Step 6: Final answer
    x = 814.90

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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.