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Finding the Fourth Proportional to 983.67, 1,357.53 and 590.70

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Solution

The fourth proportional to 983.67, 1,357.53 and 590.70 is: 815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.67 : 1,357.53 = 590.70 : x
  2. Step 2: Convert to fraction form
    983.67/1,357.53 = 590.70/x
  3. Step 3: Cross multiply
    983.67x = 1,357.53 × 590.70
  4. Step 4: Simplify right side
    983.67x = 801,892.97
  5. Step 5: Solve for x
    x = 801,892.97/983.67
  6. Step 6: Final answer
    x = 815.21

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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.