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Finding the Fourth Proportional to 687.15, 1,031.07 and 322.20

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Solution

The fourth proportional to 687.15, 1,031.07 and 322.20 is: 483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.15 : 1,031.07 = 322.20 : x
  2. Step 2: Convert to fraction form
    687.15/1,031.07 = 322.20/x
  3. Step 3: Cross multiply
    687.15x = 1,031.07 × 322.20
  4. Step 4: Simplify right side
    687.15x = 332,209.14
  5. Step 5: Solve for x
    x = 332,209.14/687.15
  6. Step 6: Final answer
    x = 483.46

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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.