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Finding the Fourth Proportional to 764.24, 1,054.63 and 414.92

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Solution

The fourth proportional to 764.24, 1,054.63 and 414.92 is: 572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.24 : 1,054.63 = 414.92 : x
  2. Step 2: Convert to fraction form
    764.24/1,054.63 = 414.92/x
  3. Step 3: Cross multiply
    764.24x = 1,054.63 × 414.92
  4. Step 4: Simplify right side
    764.24x = 437,590.23
  5. Step 5: Solve for x
    x = 437,590.23/764.24
  6. Step 6: Final answer
    x = 572.59

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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.