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Finding the Fourth Proportional to 688.12, 1,031 and 579.14

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Solution

The fourth proportional to 688.12, 1,031 and 579.14 is: 867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.12 : 1,031 = 579.14 : x
  2. Step 2: Convert to fraction form
    688.12/1,031 = 579.14/x
  3. Step 3: Cross multiply
    688.12x = 1,031 × 579.14
  4. Step 4: Simplify right side
    688.12x = 597,093.34
  5. Step 5: Solve for x
    x = 597,093.34/688.12
  6. Step 6: Final answer
    x = 867.72

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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.