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Finding the Fourth Proportional to 657.80, 987.66 and 452.68

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Solution

The fourth proportional to 657.80, 987.66 and 452.68 is: 679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.80 : 987.66 = 452.68 : x
  2. Step 2: Convert to fraction form
    657.80/987.66 = 452.68/x
  3. Step 3: Cross multiply
    657.80x = 987.66 × 452.68
  4. Step 4: Simplify right side
    657.80x = 447,093.93
  5. Step 5: Solve for x
    x = 447,093.93/657.80
  6. Step 6: Final answer
    x = 679.68

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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.