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Finding the Fourth Proportional to 764.08, 1,054.16 and 468.88

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Solution

The fourth proportional to 764.08, 1,054.16 and 468.88 is: 646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.08 : 1,054.16 = 468.88 : x
  2. Step 2: Convert to fraction form
    764.08/1,054.16 = 468.88/x
  3. Step 3: Cross multiply
    764.08x = 1,054.16 × 468.88
  4. Step 4: Simplify right side
    764.08x = 494,274.54
  5. Step 5: Solve for x
    x = 494,274.54/764.08
  6. Step 6: Final answer
    x = 646.89

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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.