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Finding the Fourth Proportional to 764.16, 1,054.54 and 414.84

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Solution

The fourth proportional to 764.16, 1,054.54 and 414.84 is: 572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.16 : 1,054.54 = 414.84 : x
  2. Step 2: Convert to fraction form
    764.16/1,054.54 = 414.84/x
  3. Step 3: Cross multiply
    764.16x = 1,054.54 × 414.84
  4. Step 4: Simplify right side
    764.16x = 437,469.85
  5. Step 5: Solve for x
    x = 437,469.85/764.16
  6. Step 6: Final answer
    x = 572.49

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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.