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Finding the Fourth Proportional to 761.23, 1,141.05 and 350.65

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Solution

The fourth proportional to 761.23, 1,141.05 and 350.65 is: 525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.23 : 1,141.05 = 350.65 : x
  2. Step 2: Convert to fraction form
    761.23/1,141.05 = 350.65/x
  3. Step 3: Cross multiply
    761.23x = 1,141.05 × 350.65
  4. Step 4: Simplify right side
    761.23x = 400,109.18
  5. Step 5: Solve for x
    x = 400,109.18/761.23
  6. Step 6: Final answer
    x = 525.61

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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.