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Finding the Fourth Proportional to 759.22, 1,045.83 and 634.84

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Solution

The fourth proportional to 759.22, 1,045.83 and 634.84 is: 874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.22 : 1,045.83 = 634.84 : x
  2. Step 2: Convert to fraction form
    759.22/1,045.83 = 634.84/x
  3. Step 3: Cross multiply
    759.22x = 1,045.83 × 634.84
  4. Step 4: Simplify right side
    759.22x = 663,934.72
  5. Step 5: Solve for x
    x = 663,934.72/759.22
  6. Step 6: Final answer
    x = 874.50

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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.