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Finding the Fourth Proportional to 674.19, 929.27 and 540.95

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Solution

The fourth proportional to 674.19, 929.27 and 540.95 is: 745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.19 : 929.27 = 540.95 : x
  2. Step 2: Convert to fraction form
    674.19/929.27 = 540.95/x
  3. Step 3: Cross multiply
    674.19x = 929.27 × 540.95
  4. Step 4: Simplify right side
    674.19x = 502,685.31
  5. Step 5: Solve for x
    x = 502,685.31/674.19
  6. Step 6: Final answer
    x = 745.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.