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Finding the Fourth Proportional to 687.95, 1,031.51 and 270.98

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Solution

The fourth proportional to 687.95, 1,031.51 and 270.98 is: 406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.95 : 1,031.51 = 270.98 : x
  2. Step 2: Convert to fraction form
    687.95/1,031.51 = 270.98/x
  3. Step 3: Cross multiply
    687.95x = 1,031.51 × 270.98
  4. Step 4: Simplify right side
    687.95x = 279,518.58
  5. Step 5: Solve for x
    x = 279,518.58/687.95
  6. Step 6: Final answer
    x = 406.31

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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.