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Finding the Fourth Proportional to 657.46, 984.65 and 519.58

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Solution

The fourth proportional to 657.46, 984.65 and 519.58 is: 778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.46 : 984.65 = 519.58 : x
  2. Step 2: Convert to fraction form
    657.46/984.65 = 519.58/x
  3. Step 3: Cross multiply
    657.46x = 984.65 × 519.58
  4. Step 4: Simplify right side
    657.46x = 511,596.93
  5. Step 5: Solve for x
    x = 511,596.93/657.46
  6. Step 6: Final answer
    x = 778.15

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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.