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Finding the Fourth Proportional to 763.54, 1,053.68 and 414.23

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Solution

The fourth proportional to 763.54, 1,053.68 and 414.23 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.54 : 1,053.68 = 414.23 : x
  2. Step 2: Convert to fraction form
    763.54/1,053.68 = 414.23/x
  3. Step 3: Cross multiply
    763.54x = 1,053.68 × 414.23
  4. Step 4: Simplify right side
    763.54x = 436,465.87
  5. Step 5: Solve for x
    x = 436,465.87/763.54
  6. Step 6: Final answer
    x = 571.63

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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.