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Finding the Fourth Proportional to 688.14, 949.72 and 522.08

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Solution

The fourth proportional to 688.14, 949.72 and 522.08 is: 720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.14 : 949.72 = 522.08 : x
  2. Step 2: Convert to fraction form
    688.14/949.72 = 522.08/x
  3. Step 3: Cross multiply
    688.14x = 949.72 × 522.08
  4. Step 4: Simplify right side
    688.14x = 495,829.82
  5. Step 5: Solve for x
    x = 495,829.82/688.14
  6. Step 6: Final answer
    x = 720.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.