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Finding the Fourth Proportional to 763.36, 1,053.44 and 414.08

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Solution

The fourth proportional to 763.36, 1,053.44 and 414.08 is: 571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.36 : 1,053.44 = 414.08 : x
  2. Step 2: Convert to fraction form
    763.36/1,053.44 = 414.08/x
  3. Step 3: Cross multiply
    763.36x = 1,053.44 × 414.08
  4. Step 4: Simplify right side
    763.36x = 436,208.44
  5. Step 5: Solve for x
    x = 436,208.44/763.36
  6. Step 6: Final answer
    x = 571.43

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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.