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Finding the Fourth Proportional to 759.04, 1,141.08 and 623.09

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Solution

The fourth proportional to 759.04, 1,141.08 and 623.09 is: 936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.04 : 1,141.08 = 623.09 : x
  2. Step 2: Convert to fraction form
    759.04/1,141.08 = 623.09/x
  3. Step 3: Cross multiply
    759.04x = 1,141.08 × 623.09
  4. Step 4: Simplify right side
    759.04x = 710,995.54
  5. Step 5: Solve for x
    x = 710,995.54/759.04
  6. Step 6: Final answer
    x = 936.70

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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.