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Finding the Fourth Proportional to 688.07, 1,031.68 and 340.64

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Solution

The fourth proportional to 688.07, 1,031.68 and 340.64 is: 510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.07 : 1,031.68 = 340.64 : x
  2. Step 2: Convert to fraction form
    688.07/1,031.68 = 340.64/x
  3. Step 3: Cross multiply
    688.07x = 1,031.68 × 340.64
  4. Step 4: Simplify right side
    688.07x = 351,431.48
  5. Step 5: Solve for x
    x = 351,431.48/688.07
  6. Step 6: Final answer
    x = 510.75

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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.