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Finding the Fourth Proportional to 688.16, 1,031.16 and 399.44

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Solution

The fourth proportional to 688.16, 1,031.16 and 399.44 is: 598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.16 : 1,031.16 = 399.44 : x
  2. Step 2: Convert to fraction form
    688.16/1,031.16 = 399.44/x
  3. Step 3: Cross multiply
    688.16x = 1,031.16 × 399.44
  4. Step 4: Simplify right side
    688.16x = 411,886.55
  5. Step 5: Solve for x
    x = 411,886.55/688.16
  6. Step 6: Final answer
    x = 598.53

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Why These Related Problems?

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