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Finding the Fourth Proportional to 764.20, 1,054.59 and 414.89

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Solution

The fourth proportional to 764.20, 1,054.59 and 414.89 is: 572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.20 : 1,054.59 = 414.89 : x
  2. Step 2: Convert to fraction form
    764.20/1,054.59 = 414.89/x
  3. Step 3: Cross multiply
    764.20x = 1,054.59 × 414.89
  4. Step 4: Simplify right side
    764.20x = 437,533.57
  5. Step 5: Solve for x
    x = 437,533.57/764.20
  6. Step 6: Final answer
    x = 572.54

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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.