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Finding the Fourth Proportional to 687.65, 1,031.74 and 302.63

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Solution

The fourth proportional to 687.65, 1,031.74 and 302.63 is: 454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.65 : 1,031.74 = 302.63 : x
  2. Step 2: Convert to fraction form
    687.65/1,031.74 = 302.63/x
  3. Step 3: Cross multiply
    687.65x = 1,031.74 × 302.63
  4. Step 4: Simplify right side
    687.65x = 312,229.56
  5. Step 5: Solve for x
    x = 312,229.56/687.65
  6. Step 6: Final answer
    x = 454.06

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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.