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Finding the Fourth Proportional to 764.71, 1,055.14 and 465.89

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Solution

The fourth proportional to 764.71, 1,055.14 and 465.89 is: 642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.71 : 1,055.14 = 465.89 : x
  2. Step 2: Convert to fraction form
    764.71/1,055.14 = 465.89/x
  3. Step 3: Cross multiply
    764.71x = 1,055.14 × 465.89
  4. Step 4: Simplify right side
    764.71x = 491,572.73
  5. Step 5: Solve for x
    x = 491,572.73/764.71
  6. Step 6: Final answer
    x = 642.82

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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.