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Finding the Fourth Proportional to 687.58, 1,031.43 and 297.59

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Solution

The fourth proportional to 687.58, 1,031.43 and 297.59 is: 446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.58 : 1,031.43 = 297.59 : x
  2. Step 2: Convert to fraction form
    687.58/1,031.43 = 297.59/x
  3. Step 3: Cross multiply
    687.58x = 1,031.43 × 297.59
  4. Step 4: Simplify right side
    687.58x = 306,943.25
  5. Step 5: Solve for x
    x = 306,943.25/687.58
  6. Step 6: Final answer
    x = 446.41

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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.