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Finding the Fourth Proportional to 653.92, 978.16 and 644

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Solution

The fourth proportional to 653.92, 978.16 and 644 is: 963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.92 : 978.16 = 644 : x
  2. Step 2: Convert to fraction form
    653.92/978.16 = 644/x
  3. Step 3: Cross multiply
    653.92x = 978.16 × 644
  4. Step 4: Simplify right side
    653.92x = 629,935.04
  5. Step 5: Solve for x
    x = 629,935.04/653.92
  6. Step 6: Final answer
    x = 963.32

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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.