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Finding the Fourth Proportional to 763.57, 1,053.73 and 414.26

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Solution

The fourth proportional to 763.57, 1,053.73 and 414.26 is: 571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.57 : 1,053.73 = 414.26 : x
  2. Step 2: Convert to fraction form
    763.57/1,053.73 = 414.26/x
  3. Step 3: Cross multiply
    763.57x = 1,053.73 × 414.26
  4. Step 4: Simplify right side
    763.57x = 436,518.19
  5. Step 5: Solve for x
    x = 436,518.19/763.57
  6. Step 6: Final answer
    x = 571.68

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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.