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Finding the Fourth Proportional to 648.96, 883.20 and 643.20

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Solution

The fourth proportional to 648.96, 883.20 and 643.20 is: 875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 883.20 = 643.20 : x
  2. Step 2: Convert to fraction form
    648.96/883.20 = 643.20/x
  3. Step 3: Cross multiply
    648.96x = 883.20 × 643.20
  4. Step 4: Simplify right side
    648.96x = 568,074.24
  5. Step 5: Solve for x
    x = 568,074.24/648.96
  6. Step 6: Final answer
    x = 875.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.