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Finding the Fourth Proportional to 687.08, 1,030.62 and 321.67

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Solution

The fourth proportional to 687.08, 1,030.62 and 321.67 is: 482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.08 : 1,030.62 = 321.67 : x
  2. Step 2: Convert to fraction form
    687.08/1,030.62 = 321.67/x
  3. Step 3: Cross multiply
    687.08x = 1,030.62 × 321.67
  4. Step 4: Simplify right side
    687.08x = 331,522.03
  5. Step 5: Solve for x
    x = 331,522.03/687.08
  6. Step 6: Final answer
    x = 482.51

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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.