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Finding the Fourth Proportional to 688.62, 947.94 and 522.42

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Solution

The fourth proportional to 688.62, 947.94 and 522.42 is: 719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.62 : 947.94 = 522.42 : x
  2. Step 2: Convert to fraction form
    688.62/947.94 = 522.42/x
  3. Step 3: Cross multiply
    688.62x = 947.94 × 522.42
  4. Step 4: Simplify right side
    688.62x = 495,222.81
  5. Step 5: Solve for x
    x = 495,222.81/688.62
  6. Step 6: Final answer
    x = 719.15

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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.