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Finding the Fourth Proportional to 983.71, 1,356.33 and 590.59

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Solution

The fourth proportional to 983.71, 1,356.33 and 590.59 is: 814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.71 : 1,356.33 = 590.59 : x
  2. Step 2: Convert to fraction form
    983.71/1,356.33 = 590.59/x
  3. Step 3: Cross multiply
    983.71x = 1,356.33 × 590.59
  4. Step 4: Simplify right side
    983.71x = 801,034.93
  5. Step 5: Solve for x
    x = 801,034.93/983.71
  6. Step 6: Final answer
    x = 814.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.