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Finding the Fourth Proportional to 687.88, 1,031.64 and 543.70

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Solution

The fourth proportional to 687.88, 1,031.64 and 543.70 is: 815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.88 : 1,031.64 = 543.70 : x
  2. Step 2: Convert to fraction form
    687.88/1,031.64 = 543.70/x
  3. Step 3: Cross multiply
    687.88x = 1,031.64 × 543.70
  4. Step 4: Simplify right side
    687.88x = 560,902.67
  5. Step 5: Solve for x
    x = 560,902.67/687.88
  6. Step 6: Final answer
    x = 815.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.