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Finding the Fourth Proportional to 763.94, 1,054.20 and 414.62

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Solution

The fourth proportional to 763.94, 1,054.20 and 414.62 is: 572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.94 : 1,054.20 = 414.62 : x
  2. Step 2: Convert to fraction form
    763.94/1,054.20 = 414.62/x
  3. Step 3: Cross multiply
    763.94x = 1,054.20 × 414.62
  4. Step 4: Simplify right side
    763.94x = 437,087.13
  5. Step 5: Solve for x
    x = 437,087.13/763.94
  6. Step 6: Final answer
    x = 572.15

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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.