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Finding the Fourth Proportional to 687.12, 1,031.01 and 277.05

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Solution

The fourth proportional to 687.12, 1,031.01 and 277.05 is: 415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.12 : 1,031.01 = 277.05 : x
  2. Step 2: Convert to fraction form
    687.12/1,031.01 = 277.05/x
  3. Step 3: Cross multiply
    687.12x = 1,031.01 × 277.05
  4. Step 4: Simplify right side
    687.12x = 285,641.32
  5. Step 5: Solve for x
    x = 285,641.32/687.12
  6. Step 6: Final answer
    x = 415.71

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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.