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Finding the Fourth Proportional to 758.94, 1,046.81 and 733.53

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Solution

The fourth proportional to 758.94, 1,046.81 and 733.53 is: 1,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.94 : 1,046.81 = 733.53 : x
  2. Step 2: Convert to fraction form
    758.94/1,046.81 = 733.53/x
  3. Step 3: Cross multiply
    758.94x = 1,046.81 × 733.53
  4. Step 4: Simplify right side
    758.94x = 767,862.87
  5. Step 5: Solve for x
    x = 767,862.87/758.94
  6. Step 6: Final answer
    x = 1,011.76

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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.