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Finding the Fourth Proportional to 759.08, 1,137.80 and 622.76

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Solution

The fourth proportional to 759.08, 1,137.80 and 622.76 is: 933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.08 : 1,137.80 = 622.76 : x
  2. Step 2: Convert to fraction form
    759.08/1,137.80 = 622.76/x
  3. Step 3: Cross multiply
    759.08x = 1,137.80 × 622.76
  4. Step 4: Simplify right side
    759.08x = 708,572.20
  5. Step 5: Solve for x
    x = 708,572.20/759.08
  6. Step 6: Final answer
    x = 933.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.