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Finding the Fourth Proportional to 687.19, 1,030.29 and 321.46

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Solution

The fourth proportional to 687.19, 1,030.29 and 321.46 is: 481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.19 : 1,030.29 = 321.46 : x
  2. Step 2: Convert to fraction form
    687.19/1,030.29 = 321.46/x
  3. Step 3: Cross multiply
    687.19x = 1,030.29 × 321.46
  4. Step 4: Simplify right side
    687.19x = 331,197.02
  5. Step 5: Solve for x
    x = 331,197.02/687.19
  6. Step 6: Final answer
    x = 481.96

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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.