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Finding the Fourth Proportional to 687.25, 1,031.01 and 302.50

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Solution

The fourth proportional to 687.25, 1,031.01 and 302.50 is: 453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.25 : 1,031.01 = 302.50 : x
  2. Step 2: Convert to fraction form
    687.25/1,031.01 = 302.50/x
  3. Step 3: Cross multiply
    687.25x = 1,031.01 × 302.50
  4. Step 4: Simplify right side
    687.25x = 311,880.53
  5. Step 5: Solve for x
    x = 311,880.53/687.25
  6. Step 6: Final answer
    x = 453.81

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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.