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Finding the Fourth Proportional to 983.56, 1,357.16 and 590.52

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Solution

The fourth proportional to 983.56, 1,357.16 and 590.52 is: 814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.56 : 1,357.16 = 590.52 : x
  2. Step 2: Convert to fraction form
    983.56/1,357.16 = 590.52/x
  3. Step 3: Cross multiply
    983.56x = 1,357.16 × 590.52
  4. Step 4: Simplify right side
    983.56x = 801,430.12
  5. Step 5: Solve for x
    x = 801,430.12/983.56
  6. Step 6: Final answer
    x = 814.83

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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.