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Finding the Fourth Proportional to 763.28, 1,053.24 and 646.64

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Solution

The fourth proportional to 763.28, 1,053.24 and 646.64 is: 892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.28 : 1,053.24 = 646.64 : x
  2. Step 2: Convert to fraction form
    763.28/1,053.24 = 646.64/x
  3. Step 3: Cross multiply
    763.28x = 1,053.24 × 646.64
  4. Step 4: Simplify right side
    763.28x = 681,067.11
  5. Step 5: Solve for x
    x = 681,067.11/763.28
  6. Step 6: Final answer
    x = 892.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.