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Finding the Fourth Proportional to 687.19, 1,031.34 and 532.75

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Solution

The fourth proportional to 687.19, 1,031.34 and 532.75 is: 799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.19 : 1,031.34 = 532.75 : x
  2. Step 2: Convert to fraction form
    687.19/1,031.34 = 532.75/x
  3. Step 3: Cross multiply
    687.19x = 1,031.34 × 532.75
  4. Step 4: Simplify right side
    687.19x = 549,446.39
  5. Step 5: Solve for x
    x = 549,446.39/687.19
  6. Step 6: Final answer
    x = 799.56

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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.