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Finding the Fourth Proportional to 1,322.92, 1,984.32 and 629.92

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Solution

The fourth proportional to 1,322.92, 1,984.32 and 629.92 is: 944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.92 : 1,984.32 = 629.92 : x
  2. Step 2: Convert to fraction form
    1,322.92/1,984.32 = 629.92/x
  3. Step 3: Cross multiply
    1,322.92x = 1,984.32 × 629.92
  4. Step 4: Simplify right side
    1,322.92x = 1,249,962.85
  5. Step 5: Solve for x
    x = 1,249,962.85/1,322.92
  6. Step 6: Final answer
    x = 944.85

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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.