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Finding the Fourth Proportional to 646.72, 970.92 and 644.32

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Solution

The fourth proportional to 646.72, 970.92 and 644.32 is: 967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.72 : 970.92 = 644.32 : x
  2. Step 2: Convert to fraction form
    646.72/970.92 = 644.32/x
  3. Step 3: Cross multiply
    646.72x = 970.92 × 644.32
  4. Step 4: Simplify right side
    646.72x = 625,583.17
  5. Step 5: Solve for x
    x = 625,583.17/646.72
  6. Step 6: Final answer
    x = 967.32

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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.