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Finding the Fourth Proportional to 661.41, 912.41 and 614.51

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Solution

The fourth proportional to 661.41, 912.41 and 614.51 is: 847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.41 : 912.41 = 614.51 : x
  2. Step 2: Convert to fraction form
    661.41/912.41 = 614.51/x
  3. Step 3: Cross multiply
    661.41x = 912.41 × 614.51
  4. Step 4: Simplify right side
    661.41x = 560,677.43
  5. Step 5: Solve for x
    x = 560,677.43/661.41
  6. Step 6: Final answer
    x = 847.70

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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.