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Finding the Fourth Proportional to 761.15, 1,046.94 and 613.46

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Solution

The fourth proportional to 761.15, 1,046.94 and 613.46 is: 843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.15 : 1,046.94 = 613.46 : x
  2. Step 2: Convert to fraction form
    761.15/1,046.94 = 613.46/x
  3. Step 3: Cross multiply
    761.15x = 1,046.94 × 613.46
  4. Step 4: Simplify right side
    761.15x = 642,255.81
  5. Step 5: Solve for x
    x = 642,255.81/761.15
  6. Step 6: Final answer
    x = 843.80

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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.