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Finding the Fourth Proportional to 764.93, 1,055.23 and 466.04

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Solution

The fourth proportional to 764.93, 1,055.23 and 466.04 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.93 : 1,055.23 = 466.04 : x
  2. Step 2: Convert to fraction form
    764.93/1,055.23 = 466.04/x
  3. Step 3: Cross multiply
    764.93x = 1,055.23 × 466.04
  4. Step 4: Simplify right side
    764.93x = 491,780.86
  5. Step 5: Solve for x
    x = 491,780.86/764.93
  6. Step 6: Final answer
    x = 642.91

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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.