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Finding the Fourth Proportional to 935.62, 1,401.60 and 688.38

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Solution

The fourth proportional to 935.62, 1,401.60 and 688.38 is: 1,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.62 : 1,401.60 = 688.38 : x
  2. Step 2: Convert to fraction form
    935.62/1,401.60 = 688.38/x
  3. Step 3: Cross multiply
    935.62x = 1,401.60 × 688.38
  4. Step 4: Simplify right side
    935.62x = 964,833.41
  5. Step 5: Solve for x
    x = 964,833.41/935.62
  6. Step 6: Final answer
    x = 1,031.22

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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.