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Finding the Fourth Proportional to 687.23, 1,030.84 and 322.43

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Solution

The fourth proportional to 687.23, 1,030.84 and 322.43 is: 483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.23 : 1,030.84 = 322.43 : x
  2. Step 2: Convert to fraction form
    687.23/1,030.84 = 322.43/x
  3. Step 3: Cross multiply
    687.23x = 1,030.84 × 322.43
  4. Step 4: Simplify right side
    687.23x = 332,367.78
  5. Step 5: Solve for x
    x = 332,367.78/687.23
  6. Step 6: Final answer
    x = 483.64

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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.