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Finding the Fourth Proportional to 763.44, 1,053.55 and 414.13

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Solution

The fourth proportional to 763.44, 1,053.55 and 414.13 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.44 : 1,053.55 = 414.13 : x
  2. Step 2: Convert to fraction form
    763.44/1,053.55 = 414.13/x
  3. Step 3: Cross multiply
    763.44x = 1,053.55 × 414.13
  4. Step 4: Simplify right side
    763.44x = 436,306.66
  5. Step 5: Solve for x
    x = 436,306.66/763.44
  6. Step 6: Final answer
    x = 571.50

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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.