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Finding the Fourth Proportional to 764.93, 1,055.67 and 466.14

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Solution

The fourth proportional to 764.93, 1,055.67 and 466.14 is: 643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.93 : 1,055.67 = 466.14 : x
  2. Step 2: Convert to fraction form
    764.93/1,055.67 = 466.14/x
  3. Step 3: Cross multiply
    764.93x = 1,055.67 × 466.14
  4. Step 4: Simplify right side
    764.93x = 492,090.01
  5. Step 5: Solve for x
    x = 492,090.01/764.93
  6. Step 6: Final answer
    x = 643.31

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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.