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Finding the Fourth Proportional to 687.84, 1,031.07 and 254.64

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Solution

The fourth proportional to 687.84, 1,031.07 and 254.64 is: 381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.84 : 1,031.07 = 254.64 : x
  2. Step 2: Convert to fraction form
    687.84/1,031.07 = 254.64/x
  3. Step 3: Cross multiply
    687.84x = 1,031.07 × 254.64
  4. Step 4: Simplify right side
    687.84x = 262,551.66
  5. Step 5: Solve for x
    x = 262,551.66/687.84
  6. Step 6: Final answer
    x = 381.70

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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.