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Finding the Fourth Proportional to 1,381.68, 2,071.98 and 688.12

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Solution

The fourth proportional to 1,381.68, 2,071.98 and 688.12 is: 1,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.68 : 2,071.98 = 688.12 : x
  2. Step 2: Convert to fraction form
    1,381.68/2,071.98 = 688.12/x
  3. Step 3: Cross multiply
    1,381.68x = 2,071.98 × 688.12
  4. Step 4: Simplify right side
    1,381.68x = 1,425,770.88
  5. Step 5: Solve for x
    x = 1,425,770.88/1,381.68
  6. Step 6: Final answer
    x = 1,031.91

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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.