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Finding the Fourth Proportional to 758.52, 1,140.30 and 622.58

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Solution

The fourth proportional to 758.52, 1,140.30 and 622.58 is: 935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.52 : 1,140.30 = 622.58 : x
  2. Step 2: Convert to fraction form
    758.52/1,140.30 = 622.58/x
  3. Step 3: Cross multiply
    758.52x = 1,140.30 × 622.58
  4. Step 4: Simplify right side
    758.52x = 709,922.27
  5. Step 5: Solve for x
    x = 709,922.27/758.52
  6. Step 6: Final answer
    x = 935.93

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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.