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Finding the Fourth Proportional to 687.58, 1,031.70 and 322.44

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Solution

The fourth proportional to 687.58, 1,031.70 and 322.44 is: 483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.58 : 1,031.70 = 322.44 : x
  2. Step 2: Convert to fraction form
    687.58/1,031.70 = 322.44/x
  3. Step 3: Cross multiply
    687.58x = 1,031.70 × 322.44
  4. Step 4: Simplify right side
    687.58x = 332,661.35
  5. Step 5: Solve for x
    x = 332,661.35/687.58
  6. Step 6: Final answer
    x = 483.81

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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.