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Finding the Fourth Proportional to 983.86, 1,357.61 and 590.82

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Solution

The fourth proportional to 983.86, 1,357.61 and 590.82 is: 815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.86 : 1,357.61 = 590.82 : x
  2. Step 2: Convert to fraction form
    983.86/1,357.61 = 590.82/x
  3. Step 3: Cross multiply
    983.86x = 1,357.61 × 590.82
  4. Step 4: Simplify right side
    983.86x = 802,103.14
  5. Step 5: Solve for x
    x = 802,103.14/983.86
  6. Step 6: Final answer
    x = 815.26

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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.