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Finding the Fourth Proportional to 618.46, 852.77 and 506.07

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Solution

The fourth proportional to 618.46, 852.77 and 506.07 is: 697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.46 : 852.77 = 506.07 : x
  2. Step 2: Convert to fraction form
    618.46/852.77 = 506.07/x
  3. Step 3: Cross multiply
    618.46x = 852.77 × 506.07
  4. Step 4: Simplify right side
    618.46x = 431,561.31
  5. Step 5: Solve for x
    x = 431,561.31/618.46
  6. Step 6: Final answer
    x = 697.80

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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.