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Finding the Fourth Proportional to 764.07, 1,054.14 and 465.23

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Solution

The fourth proportional to 764.07, 1,054.14 and 465.23 is: 641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.07 : 1,054.14 = 465.23 : x
  2. Step 2: Convert to fraction form
    764.07/1,054.14 = 465.23/x
  3. Step 3: Cross multiply
    764.07x = 1,054.14 × 465.23
  4. Step 4: Simplify right side
    764.07x = 490,415.23
  5. Step 5: Solve for x
    x = 490,415.23/764.07
  6. Step 6: Final answer
    x = 641.85

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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.