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Finding the Fourth Proportional to 646.02, 962.82 and 640.67

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Solution

The fourth proportional to 646.02, 962.82 and 640.67 is: 954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.02 : 962.82 = 640.67 : x
  2. Step 2: Convert to fraction form
    646.02/962.82 = 640.67/x
  3. Step 3: Cross multiply
    646.02x = 962.82 × 640.67
  4. Step 4: Simplify right side
    646.02x = 616,845.08
  5. Step 5: Solve for x
    x = 616,845.08/646.02
  6. Step 6: Final answer
    x = 954.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.