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Finding the Fourth Proportional to 1,151.45, 1,726.31 and 534.79

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Solution

The fourth proportional to 1,151.45, 1,726.31 and 534.79 is: 801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.45 : 1,726.31 = 534.79 : x
  2. Step 2: Convert to fraction form
    1,151.45/1,726.31 = 534.79/x
  3. Step 3: Cross multiply
    1,151.45x = 1,726.31 × 534.79
  4. Step 4: Simplify right side
    1,151.45x = 923,207.11
  5. Step 5: Solve for x
    x = 923,207.11/1,151.45
  6. Step 6: Final answer
    x = 801.78

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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.