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Finding the Fourth Proportional to 687.12, 1,030.86 and 321.84

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Solution

The fourth proportional to 687.12, 1,030.86 and 321.84 is: 482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.12 : 1,030.86 = 321.84 : x
  2. Step 2: Convert to fraction form
    687.12/1,030.86 = 321.84/x
  3. Step 3: Cross multiply
    687.12x = 1,030.86 × 321.84
  4. Step 4: Simplify right side
    687.12x = 331,771.98
  5. Step 5: Solve for x
    x = 331,771.98/687.12
  6. Step 6: Final answer
    x = 482.84

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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.