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Finding the Fourth Proportional to 761.33, 1,050.44 and 584.47

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Solution

The fourth proportional to 761.33, 1,050.44 and 584.47 is: 806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.33 : 1,050.44 = 584.47 : x
  2. Step 2: Convert to fraction form
    761.33/1,050.44 = 584.47/x
  3. Step 3: Cross multiply
    761.33x = 1,050.44 × 584.47
  4. Step 4: Simplify right side
    761.33x = 613,949.50
  5. Step 5: Solve for x
    x = 613,949.50/761.33
  6. Step 6: Final answer
    x = 806.41

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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.