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Finding the Fourth Proportional to 730.82, 1,009.56 and 583.26

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Solution

The fourth proportional to 730.82, 1,009.56 and 583.26 is: 805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.82 : 1,009.56 = 583.26 : x
  2. Step 2: Convert to fraction form
    730.82/1,009.56 = 583.26/x
  3. Step 3: Cross multiply
    730.82x = 1,009.56 × 583.26
  4. Step 4: Simplify right side
    730.82x = 588,835.97
  5. Step 5: Solve for x
    x = 588,835.97/730.82
  6. Step 6: Final answer
    x = 805.72

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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.