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Finding the Fourth Proportional to 707.07, 974.49 and 540.97

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Solution

The fourth proportional to 707.07, 974.49 and 540.97 is: 745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.07 : 974.49 = 540.97 : x
  2. Step 2: Convert to fraction form
    707.07/974.49 = 540.97/x
  3. Step 3: Cross multiply
    707.07x = 974.49 × 540.97
  4. Step 4: Simplify right side
    707.07x = 527,169.86
  5. Step 5: Solve for x
    x = 527,169.86/707.07
  6. Step 6: Final answer
    x = 745.57

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Why These Related Problems?

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