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Finding the Fourth Proportional to 755.10, 1,043.10 and 582.66

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Solution

The fourth proportional to 755.10, 1,043.10 and 582.66 is: 804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.10 : 1,043.10 = 582.66 : x
  2. Step 2: Convert to fraction form
    755.10/1,043.10 = 582.66/x
  3. Step 3: Cross multiply
    755.10x = 1,043.10 × 582.66
  4. Step 4: Simplify right side
    755.10x = 607,772.65
  5. Step 5: Solve for x
    x = 607,772.65/755.10
  6. Step 6: Final answer
    x = 804.89

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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.