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Finding the Fourth Proportional to 757.48, 1,135.23 and 340.70

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Solution

The fourth proportional to 757.48, 1,135.23 and 340.70 is: 510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.48 : 1,135.23 = 340.70 : x
  2. Step 2: Convert to fraction form
    757.48/1,135.23 = 340.70/x
  3. Step 3: Cross multiply
    757.48x = 1,135.23 × 340.70
  4. Step 4: Simplify right side
    757.48x = 386,776.98
  5. Step 5: Solve for x
    x = 386,776.98/757.48
  6. Step 6: Final answer
    x = 510.61

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Why These Related Problems?

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