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Finding the Fourth Proportional to 761.06, 1,141.29 and 414.68

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Solution

The fourth proportional to 761.06, 1,141.29 and 414.68 is: 621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.06 : 1,141.29 = 414.68 : x
  2. Step 2: Convert to fraction form
    761.06/1,141.29 = 414.68/x
  3. Step 3: Cross multiply
    761.06x = 1,141.29 × 414.68
  4. Step 4: Simplify right side
    761.06x = 473,270.14
  5. Step 5: Solve for x
    x = 473,270.14/761.06
  6. Step 6: Final answer
    x = 621.86

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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.