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Finding the Fourth Proportional to 763.59, 1,053.75 and 414.27

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Solution

The fourth proportional to 763.59, 1,053.75 and 414.27 is: 571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.59 : 1,053.75 = 414.27 : x
  2. Step 2: Convert to fraction form
    763.59/1,053.75 = 414.27/x
  3. Step 3: Cross multiply
    763.59x = 1,053.75 × 414.27
  4. Step 4: Simplify right side
    763.59x = 436,537.01
  5. Step 5: Solve for x
    x = 436,537.01/763.59
  6. Step 6: Final answer
    x = 571.69

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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.