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Finding the Fourth Proportional to 962.70, 1,384.56 and 962.70

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Solution

The fourth proportional to 962.70, 1,384.56 and 962.70 is: 1,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.70 : 1,384.56 = 962.70 : x
  2. Step 2: Convert to fraction form
    962.70/1,384.56 = 962.70/x
  3. Step 3: Cross multiply
    962.70x = 1,384.56 × 962.70
  4. Step 4: Simplify right side
    962.70x = 1,332,915.91
  5. Step 5: Solve for x
    x = 1,332,915.91/962.70
  6. Step 6: Final answer
    x = 1,384.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.