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Finding the Fourth Proportional to 657.54, 986.94 and 475.92

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Solution

The fourth proportional to 657.54, 986.94 and 475.92 is: 714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.54 : 986.94 = 475.92 : x
  2. Step 2: Convert to fraction form
    657.54/986.94 = 475.92/x
  3. Step 3: Cross multiply
    657.54x = 986.94 × 475.92
  4. Step 4: Simplify right side
    657.54x = 469,704.48
  5. Step 5: Solve for x
    x = 469,704.48/657.54
  6. Step 6: Final answer
    x = 714.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.